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 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 describ

Step-by-step solution

For circuit (A), the two resistors are connected in series. The equivalent resistance is given by: R_A = R₀(1 - T) + R₀(1 + T) = 2R₀ The current in circuit (A) is I_A = V R_A = V 2R₀ . Since R_A is independent of the temperature change T , the current I_A remains constant. For circuit (B), the two resistors are connected in parallel. The equivalent resistance is given by: R_B = R₀(1 - T) R₀(1 + T) R₀(1 - T) + R₀(1 + T) R_B = R₀^2(1 - ^2 T^2) 2R₀ = R₀ 2 (1 - ^2 T^2) As the temperature increases, T increases, which m