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RE-NEET2026Physics-Current Electricity

RE-NEET 2026 Physics Temperature Dependence of Resistance MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Consider two circuits, (A) and (B), each having two resistors. One of them has a positive temperature coefficient of resistance, +α, while the other one has a negative temperature coefficient, −α, as shown in the figure. The current through these circuits are denoted by I_A and I_B. 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:

Question diagram
A

I_A decreases while I_B increases

B

I_A increases while I_B decreases

C

both I_A and I_B remain constant

D

I_A remains constant while I_B increases

Correct Answer

Option D

Detailed Explanation

In circuit (A), the resistors have a positive temperature coefficient (+α), meaning their resistance increases with temperature. Thus, as temperature rises, the resistance becomes RA=R0(1+αΔT)R_A = R_0(1 + \alpha \Delta T). According to Ohm's law, the current IAI_A is given by:

IA=VRA=VR0(1+αΔT)I_A = \frac{V}{R_A} = \frac{V}{R_0(1 + \alpha \Delta T)}

As ΔT\Delta T increases, IAI_A decreases.

In circuit (B), the resistors have a negative temperature coefficient (−α), so their resistance decreases with temperature, leading to:

RB=R0(1−αΔT)R_B = R_0(1 - \alpha \Delta T)

Thus, the current IBI_B is:

IB=VRB=VR0(1−αΔT)I_B = \frac{V}{R_B} = \frac{V}{R_0(1 - \alpha \Delta T)}

As ΔT\Delta T increases, IBI_B increases.

Option D is correct because IAI_A decreases while IBI_B increases. The other options fail to accurately reflect the behavior of the currents based on the temperature coefficients.

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