Q. No.If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10~\text {volts}\) to another point where the potential is \(\text{V volts}\), then the value of \(\mathrm{V}\) is:
1. \(5~\text {volts}\)
2. \(-15~\text {volts}\)
3. \(+15~\text {volts}\)
4. \(+10~\text {volts}\)
1. \(5~\text {volts}\)
2. \(-15~\text {volts}\)
3. \(+15~\text {volts}\)
4. \(+10~\text {volts}\)
Three capacitors \(A\), \(B\) and \(C\) are connected in a circuit as shown in Fig. What is the charge in \(\mu \text{C}\) on the capacitor \(B\):
| 1. | \(\frac{1}{3}\) | 2. | \(\frac{2}{3}\) |
| 3. | \(1\) | 4. | \(\frac{4}{3}\) |
| 1. | \(V = -x+y+\) constant |
| 2. | \(V\) = constant |
| 3. | \(V=-\left({x}^2+{y}^2\right)+\) constant |
| 4. | \(V=-x y+\) constant |
What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?
1. \(1100~\text{km}^2\)
2. \(1130~\text{km}^2\)
3. \(1110~\text{km}^2\)
4. \(1105~\text{km}^2\)
(taking the zero of the potential energy at an infinite separation of the electron from the proton.)
1. \(-23.1~\text{eV}\)
2. \(27.0~\text{eV}\)
3. \(-27.2~\text{eV}\)
4. \(23.7~\text{eV}\)
| 1. | can not be defined as \(-\int_{A}^{B} { \vec E\cdot \vec{dl}}\) |
| 2. | must be defined as \(-\int_{A}^{B} {\vec E\cdot \vec{dl}}\) |
| 3. | is zero |
| 4. | can have a non-zero value. |
| (a) | the electric field is uniform |
| (b) | the electric field is zero |
| (c) | there can be no charge inside the region |
| (d) | the electric field shall necessarily change if a charge is placed outside the region |
Choose the correct statement(s):
| 1. | (b) and (c) | 2. | (a) and (c) |
| 3. | (b) and (d) | 4. | (c) and (d) |
In the circuit shown in the figure initially key \(K_1\) is closed and key \(K_2\) is open. Then \(K_1\) is opened and \(K_2\) is closed (order is important).
[Take \(Q_1\) and \(Q_2\) as charges on \(C_1\) and \(C_2\) and \(V_1\) and \(V_2\) as voltage respectively.]
Then,
| a. | charge on \(C\) gets redistributed such that \(V_1= V_2\) |
| b. | charge on \(C\) gets redistributed such that \(Q_1= Q_2\) |
| c. | charge on \(C\) gets redistributed such that \(C_1V_1+C_2V_2 = C_1 E\) |
| d. | charge on \(C\) gets redistributed such that \(Q_1+Q_2 =Q\) |
1. (a) and (c)
2. (a) and (d)
3. (b) and (c)
4. (c) and (d)
A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.
| A: | Key \(K\) is kept closed and plates of capacitors are moved apart using the insulating handle. |
| B: | Key \(K\) is opened and plates of capacitors are moved apart using the insulating handle. |
| a. | In A, \(Q\) remains the same but \(C\) changes. |
| b. | In B, \(V\) remains the same but \(C\) changes. |
| c. | In A, \(V\) remains the same and hence \(Q\) changes. |
| d. | In B, \(Q\) remains the same and hence \(V\) changes. |
| 1. | (a) and (b) | 2. | (a) and (d) |
| 3. | (b) and (c) | 4. | (c) and (d) |
Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately:
| 1. | spheres | 2. | planes |
| 3. | paraboloids | 4. | ellipsoids |
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