In the circuit shown, the value of each of the resistances is \(r\). The equivalent resistance of the circuit between terminals \(A\) and \(B\) will be:
1. | \(\dfrac{4r}{3}\) | 2. | \(\dfrac{3r}{2}\) |
3. | \(\dfrac{r}{3}\) | 4. | \(\dfrac{8r}{7}\) |
Drift velocity \(v_d\) varies with the intensity of 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. | Potential difference across the terminals of the battery is maximum when \(R=r\). |
2. | Power delivered to the resistor is maximum when \(R=r\). |
3. | Current in the circuit is maximum when \(R=r\). |
4. | Current in the circuit is maximum when \(R>>r\). |
The current in the arm \(CD\) of the circuit will be:
1.
2.
3.
4.
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 \(8\) ohms resistance is \(48\) volts as shown in the figure below. The value of potential difference across \(X\) and \(Y\) points will be:
1. \(160\) volt
2. \(128\) volt
3. \(80\) volt
4. \(62\) volt
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. | \(\frac{5R}{2}+2r\) |