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. \(i_{1} - i_{2} + i_{3}\)

Subtopic:  Kirchoff's Current Law |
 86%
Level 1: 80%+
PMT - 1998
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Consider the circuit shown in the figure below. The current \(I_3\) is equal to:

       

1. \(5\) A

2. \(3\) A

3. \(-3\) A

4. \(\frac{-5}{6}\) A

Subtopic:  Kirchoff's Voltage Law |
 67%
Level 2: 60%+
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In the Wheatstone's bridge (shown in the figure below) \(X=Y\) and \(A>B\). The direction of the current between \(a\) and \(b\) will be:

     

1. from \(a\) to \(b\).
2. from \(b\) to \(a\).
3. from \(b\) to \(a\) through \(c\).
4. from \(a\) to \(b\) through \(c\).
Subtopic:  Wheatstone Bridge |
 62%
Level 2: 60%+
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In the circuit given below, the emf of the cell is \(2\) volt and the internal resistance is negligible. The resistance of the voltmeter is \(80\) ohm. The reading of the voltmeter will be:
                                 
1. \(0.80\) volt
2. \(1.60\) volt
3. \(1.33\) volt
4. \(2.00\) volt

Subtopic:  Kirchoff's Voltage Law |
 54%
Level 3: 35%-60%
PMT - 1991
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In the circuit shown below, \(E_1 = 4.0~\text{V}\), \(R_1 = 2~\Omega\)\(E_2 = 6.0~\text{V}\), \(R_2 = 4~\Omega\) and \(R_3 = 2~\Omega\). The current \(I_1\) is:

    

1. \(1.6\) A

2. \(1.8\) A

3. \(1.25\) A

4. \(1.0\) A

Subtopic:  Grouping of Cells |
 54%
Level 3: 35%-60%
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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. \(62~\text V\)

Subtopic:  Kirchoff's Voltage Law |
 64%
Level 2: 60%+
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What is the equivalent resistance between terminals \(A\) and \(B\) of the network?

        

1. \(\dfrac{57}{7}~\Omega\) 2. \(8~\Omega\)
3. \(6~\Omega\) 4. \(\dfrac{57}{5}~\Omega\)
Subtopic:  Combination of Resistors |
 58%
Level 3: 35%-60%
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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. \(\frac{5R}{2}+2r\)
Subtopic:  Combination of Resistors |
 76%
Level 2: 60%+
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\(12\) cells each having the same emf are connected in series with some cells wrongly connected. The arrangement is connected in series with an ammeter and two similar cells which are in series. Current is \(3~\text{A}\) when cells and battery aid each other and is \(2~\text{A}\) when cells and battery oppose each other. The number of cells wrongly connected is/are:
1. \(4\)
2. \(1\)
3. \(3\)
4. \(2\)

Subtopic:  Grouping of Cells |
 51%
Level 3: 35%-60%
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Variation of current passing through a conductor with the voltage applied across its ends varies is shown in the diagram below. If the resistance \((R)\) is determined at points \(A\), \(B\), \(C\) and \(D\), we will find that:

1. \(R_C = R_D\) 2. \(R_B>R_A\)
3. \(R_C>R_B\) 4. None of these
Subtopic:  Derivation of Ohm's Law |
 60%
Level 2: 60%+
PMT - 1988
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