The current in a wire varies with time according to the equation \(I=(4+2t),\) where \(I\) is in ampere and \(t\) is in seconds. The quantity of charge which has passed through a cross-section of the wire during the time \(t=2\) s to \(t=6\) s will be:
1. | \(60\) C | 2. | \(24\) C |
3. | \(48\) C | 4. | \(30\) C |
What is total resistance across terminals A and B in the following network?
1. R
2. 2R
3.
4.
A voltmeter of resistance \(660~\Omega\) reads the voltage of a very old cell to be \(1.32\) V while a potentiometer reads its voltage to be \(1.44\) V. The internal resistance of the cell is:
1. \(30~\Omega\)
2. \(60~\Omega\)
3. \(6~\Omega\)
4. \(0.6~\Omega\)
1. | \(2:1\) | 2. | \(4:9\) |
3. | \(9:4\) | 4. | \(1:2\) |
The power dissipated across the 8 Ω resistor in the circuit shown here is 2 W. The power dissipated in watts across the 3 Ω resistor is:
1. | 2.0 | 2. | 1.0 |
3. | 0.5 | 4. | 3.0 |
1. | flow from \(A\) to \(B\) |
2. | flow in the direction which will be decided by the value of \(V\) |
3. | be zero |
4. | flow from \(B\) to \(A\) |
Three resistances \(\mathrm P\), \(\mathrm Q\), and \(\mathrm R\), each of \(2~\Omega\) and an unknown resistance \(\mathrm{S}\) form the four arms of a Wheatstone bridge circuit. When the resistance of \(6~\Omega\) is connected in parallel to \(\mathrm{S}\), the bridge gets balanced. What is the value of \(\mathrm{S}\)?
1. \(2~\Omega\)
2. \(3~\Omega\)
3. \(6~\Omega\)
4. \(1~\Omega\)
The total power dissipated in watts in the circuit shown below is:
1. | 16 W | 2. | 40 W |
3. | 54 W | 4. | 4 W |
A current of \(3~\text{A}\) flows through the \(2~\Omega\) resistor shown in the circuit. The power dissipated in the \(5~\Omega\) resistor is:
1. | \(4~\text{W}\) | 2. | \(2~\text{W}\) |
3. | \(1~\text{W}\) | 4. | \(5~\text{W}\) |