Drift velocity \(v_d\) varies with the intensity of the electric field as per the relation:
1. \(v_{d} \propto E\)
2. \(v_{d} \propto \frac{1}{E}\)
3. \(v_{d}= \text{constant}\)
4. \(v_{d} \propto E^2\)
What is the equivalent resistance of the circuit?
1. \(6~\Omega\)
2. \(7~\Omega\)
3. \(8~\Omega\)
4. \(9~\Omega\)
Equivalent resistance across terminals \(A\) and \(B\) will be:
1. | \(1~\Omega\) | 2. | \(2~\Omega\) |
3. | \(3~\Omega\) | 4. | \(4~\Omega\) |
The total current supplied to the circuit by the battery is:
1. \(1~\text{A}\)
2. \(2~\text{A}\)
3. \(4~\text{A}\)
4. \(6~\text{A}\)
A battery of emf \(E\) and internal resistance \(r\) is connected to a variable resistor \(R\) as shown below. Which one of the following is true?
1. | The potential difference across the terminals of the battery is maximum when \(R=r.\) |
2. | The power delivered to the resistor is maximum when \(R=r.\) |
3. | The current in the circuit is maximum when \(R=r.\) |
4. | The current in the circuit is maximum when \(R>>r.\) |
The current in the arm \(CD\) of the circuit will be:
1. \(i_{1} + i_{2}\)
2. \(i_{2} + i_{3}\)
3. \(i_{1} + i_{3}\)
4. \(i_{1} - i_{2} + i_{3}\)
A resistance of 4 Ω and a wire of length 5 metres and resistance 5 Ω are joined in series and connected to a cell of e.m.f. 10 V and internal resistance 1 Ω. A parallel combination of two identical cells is balanced across 300 cm of the wire. The e.m.f. E of each cell is:
1. 1.5 V
2. 3.0 V
3. 0.67 V
4. 1.33 V
The potential difference across \(8~\Omega\) resistance is \(48~\text V\) as shown in the figure below. The value of potential difference across \(X\) and \(Y\) points will be:
1. \(160~\text V\)
2. \(128~\text V\)
3. \(80~\text V\)
4. \(62~\text V\)
The effective resistance between points \(P\) and \(Q\) of the electrical circuit shown in the figure is:
1. | \(\frac{2 R r}{\left(R + r \right)}\) | 2. | \(\frac{8R\left(R + r\right)}{\left( 3 R + r\right)}\) |
3. | \(2r+4R\) | 4. | \(\frac{5R}{2}+2r\) |
A battery consists of a variable number \('n'\) of identical cells having internal resistances connected in series. The terminals of battery are short circuited and the current \(i\) is measured. The graph below that shows the relationship between \(i\) and \(n\) is:
1. | |
2. | |
3. | 4. |