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The circuit in Figure Q23

Physics

The circuit in Figure Q23.4 has two resistors, with R_1 > R_2. Which resistor dissipates the larger amount of power? Explain. The circuit in Figure Q23.5 has a battery and two resistors, with R_1 > R_2. Which resistor dissipates the larger amount of power? Explain.

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Given:-
?R1 > R2

(A)
Power = I^2*R
Connection is in series, Therefore Current is same in both the resistors, and by the above equation we see,
Higher the Resistance, Greater the power Dissipated.

R1 dissipates larger amount of power.

(B)
Power = v^2/R
Connection is in parallel, Therefore Voltage is same across both the resistors, and by the above equation we see,

Lower the resistance, Greater the power Dissipated.

R2 dissipates larger amount of power.