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Current Electricity · Question 5

RE-NEET (UG) 2026MCQMedium📈 Topic in 38% papers+4−1
1

Consider two circuits, (A) and (B), each having two resistors. One of them has a positive temperature coefficient of resistance, + , while the other one has a negative temperature of coefficient, - , as shown in the figure. The current through these circuits are denoted by IA and IB. At initial temperature, the resistance of the two resistors is R0. As the temperature is increased, the correct option that describes the variation of current in these circuits is: [figure]

  1. both IA and IB remain constant
  2. IA remains constant while IB increases
  3. IA decreases while IB increases
  4. IA increases while IB decreases

Answer

(2) IA remains constant while IB increases

Solution

For circuit (A), the two resistors are connected in series:

Req, A = R0(1 - T) + R0(1 + T) = 2R0

Since the equivalent resistance is independent of T, IA = V2R0 remains constant.

For circuit (B), the two resistors are connected in parallel:

1Req, B = 1R0(1 - T) + 1R0(1 + T) = 2R0R02(1 - 2 T2) = 2R0(1 - 2 T2)

IB = VReq, B = 2VR0(1 - 2 T2)

As temperature increases, (1 - 2 T2) decreases, which means IB increases.

Therefore, IA remains constant while IB increases.

Answer: (2)

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2

The current passing through the battery in the given circuit, is: [figure]

  1. 2.5 A
  2. 1.5 A
  3. 2.0 A
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3

A wire of resistance R is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is:

  1. R16
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  3. R64
  4. R32
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4

A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is: [figure]

  1. 2.5 A
  2. 3.0 A
  3. 1.5 A
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5

The terminal voltage of the battery, whose emf is 10 V and internal resistance 1 , when connected through an external resistance of 4 as shown in the figure is: [figure]

  1. 4 V
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6

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  1. 26
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7

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  1. 1:1
  2. 2:9
  3. 1:2
  4. 2:3
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8

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  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
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9

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  1. 4v
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10

A uniform metal wire of length l has 10 resistance. Now this wire is stretched to a length 2l and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

  1. 10
  2. 5
  3. 40
  4. 20
RE-NEET (UG) 2024
11

The given circuit shows a uniform straight wire AB of 40 cm length fixed at both ends. In order to get zero reading in the galvanometer G, the free end of J is to be placed from B at: [figure]

  1. 32 cm
  2. 8 cm
  3. 16 cm
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