Electrostatic Practice Test 3 (ORG)
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1. The electric field required to keep a water drop of mass m just to remain suspended, when charged with one electron is
Let electric filed be E Water drop is subjected to upward electric force FE=eE Down word gravitational force FG=mg To keep water drop suspended resultant force must be zero FE=FG On substituting values of FE and FG eE=mg E=mg/e
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2. The capacitors of capacitance 4 μF and 6 μF are connected in series. A potential difference of500 volt is applied to the outer plates of two capacitor system. Then the charge on each plate of each capacitor is numerically
Both the capacitors are in series and connected across the source of 500V. Hence charge on the each capacitor will be same.Effective capacitance On substituting the values of both the capacitors , after solving for C, we get c=2.4μF Now Q=CV Q=2.4μF ×500V Q=1200μC
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3. When we touch the terminal of a high voltage capacitor, even after a high voltage has been cut off. Then the capacitor has the tendency to
Function of capacitor is to store energy in the form of electric field and charge in accumulated in it when connected to high voltage source. When such a charged capacitor is conned to resistors or any conductor charge flows through it. Our body is a conductor of electric charge. When we touch capacitor, it tries to send out charge through our body to ground. Which can give fatal shock to the body if discharge current is high.
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4. he study of the effect associated with electric field at rest is known as
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5. Three capacitors of 2.0, 3.0. and 6.0 μF connected in series to a 10 V source. The charge on 3.0 μ F capacitor is
All the capacitors are connected in series hence charge on each capacitor is same Equivalent capacitor On substituting the value and taking reciprocal we get C=1 μF Now Q=CV Therefore Q=1 μF × 10V Q=10 μ C
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Two charges of Q coulombs are a distance d apart from each other. Which of the following would reduce the force exerted between the charges by a factor of 4?
Given Coulomb's Law electrostatic forces: F=kQq / d2
We can see that distance and force are inversly related. Also distance is squared, so if we increase the distance by 2, the force between the two charges will be reduced by a factor of four.
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Which of the following is not true regarding electric potential?
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
W=−qΔV
W is the work done by the electric field, q is the charge, and ΔV is the potential difference. If ΔV is positive (the final potential is higher than the initial potential) and q is also positive, then work done by the field is negative.
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If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
Electrical potential energy is given by the equation
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then r (the distance between the two equal charges) must have decreased proportionally.
For the energy to be quadrupled, the radius must be quartered.
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9. The potential taken between two points across a resistor will be
The resistor will absorb power and dissipate it in the form of heat energy. The potential between two points across a resistor will be negative.
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10. A capacitor consists of_________
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11. For very low frequencies, capacitor acts as ________
Capacitive impedance is inversely proportional to frequency. Hence at very low frequencies the impedance is almost infinity and hence acts as an open circuit and no current flows through it.
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12. For high frequencies, capacitor acts as _________
Capacitive impedance is inversely proportional to frequency. Hence at very high frequencies, the impedance is almost equal to zero, hence it acts as a short circuit and there is no voltage across it.
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13. If 2V is supplied to a 3F capacitor, calculate the charge stored in the capacitor.
Q is directly proportional to V. The constant of proportionality in this case is C, that is, the capacitance. Hence Q=CV. Q=3*2=6C.
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14. What is the relation between current and voltage in a capacitor?
Current=rate of change of charge I=dQ/dt. Q=CV. C(capacitance) is constant for a given capacitor so I=CdV/dt.
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15. A capacitor is charged to a voltage of 400V and has a resistance of 20ohm. Calculate the final value of charging current.
When the capacitor is charging, the final voltage of the capacitor becomes equal to the voltage of source. Hence, the current becomes equal to zero.
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16. What happens to the capacitor when the capacitor voltage is equal to the source voltage?
When the capacitor voltage is equal to the source voltage, it means that all the charges have moved from one plate of the capacitor to the other. Hence the capacitor is fully charged and we say it gets switched off.
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17. When will be capacitors fully charged?
When the capacitor voltage is equal to the source voltage, it means that all the charges have moved from one plate of the capacitor to the other.
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18. A capacitor is charged to a voltage of 400V and has a resistance of 20ohm. Calculate the final value of the discharge current.
In a discharging circuit, the final voltage is equal to zero for capacitor. For a resistor, final voltage is 400V.So,final current = V/R = 400/20 = 20A.
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19. A capacitor is charged to a voltage of 400V and has a resistance of 20ohm. Calculate the initial value of the discharge current.
When the capacitor is discharging the value of the initial current is zero.
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20. Two point charges +4 mC and -1 mC are separated by a distance of d. The ratio of force acting on them will be
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21. A capacitor is charged to a voltage of 400V and has a resistance of 20ohm. Calculate the initial value of charging current.
When the capacitor is charging the initial value if the current is V/R=400/20 = 20A.
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22. What is the final current while charging a capacitor?
The final current is almost equal to zero while charging a capacitor because the capacitor is charged up to the source voltage.
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23. What is the initial current while charging a capacitor?
The initial current of a capacitor is very high because the voltage source will transport charges from one plate of the capacitor to the other plate.
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24. Which of the following depends on charging and discharging rate of a capacitor?
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25. a point charge Q1 = -9 microcoloumbis at x=0 while Q2=4microcoloumbis at x=1m . at what point would the net force on a positive charge Q3 be 0?
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26. To obtain 3 mF capacity from three capacitors of 2 mF each, they will be arranged.
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27. What is the total capacitance when two capacitors C1 and C2 are connected in series?
When capacitors are connected in series, the equivalent capacitance is: 1/Ctotal=1/C1+1/C2, therefore Ctotal = C1C2/(C1+C2).
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28. In a charged capacitor, the energy resides
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29. The potential gradient at which the dielectric of a condenser just gets punctured is called
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30. A sheet of aluminum foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
A very thin metal sheet (no thickness) inside makes two small capacitors in series. Their gap distances add to the same total gap as before. So the total capacitance stays the same.
Explanation:
After the introduction of the aluminum foil of negligible thickness the plates will behave as two capacitors being connected in series. Then find the effective capacitance of this system. Compare the capacitances of both the systems
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31. The work done in placing a charge of 8 × 10^–18 coulomb on a condenser of capacity 100 micro-farad is
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32. Capacitors are used in electrical circuits where appliances need more
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33. The energy stored in a condenser of capacity C which has been raised to a potential V is given by
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34. A conductor carries a certain charge. When it is connected to another uncharged conductor of finite capacity, then the energy of the combined system is
Energy will be lost during transfer of charge (heating effect).
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35. When air in a capacitor is replaced by a medium of dielectric constant K, the capacity
C(medium) = K × C(air)
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36. If in a parallel plate capacitor, which is connected to a battery, we fill dielectrics in whole space of its plates, then which of the following increases?
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37. Energy is stored in a capacitor in the form of
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38. On decreasing the distance between the plates of a parallel plate capacitor, its capacitance
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39. If a unit positive charge is taken from one point to another over an equipotential surface, then
On the equipotential surface, electric field is normal to the charged surface (where potential exists) so that no work will be done.
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40. Which of the following about potential difference between any two points is true? I. It depends only on the initial and final position. II. It is the work done per unit positive charge in moving from one point to other. III. It is more for a positive charge of two units as compared to a positive charge of one unit
Since V = W/Q more work will be done for a positive charge of two units as compared to positive charge of one unit, but the ratio W/Q is same. Therefore potential difference is same.
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