Two resistors are connected in series. Is it possible for the potential differen

Question

Two resistors are connected in series. Is it possible for the potential difference across one resistor to be equal to the potential difference across the other resistor? No, this is imposible Yes, this will happen if the resistors have equal resistance. Yes, this will happen if one resistor has twice as much resistance as the other one. An ideal battery is connected across the parallel combination of two identical resistors, R1 and R2. Whatt happens to the the power dissipated in R1 when R2 is removed from circuit? It increases It remains the same. It decreases. An ideal battery n connected across the parallel combination of two Identical resistors, R1 and R2. What happens to the current drawn from tne battery when R1 is removed from the circuit? It Increases It decreases. It remains the same

Explanation / Answer

(i) Yes this will happen if the resistors have equal resistance

since V_1=V_2

so I R_1= I R_2

so R_1= R_2

(ii) it remains the same

in parallel circuit V is same in bothe resistor so

P_1 = V^2/R_1

P_2= V^2/R_2

if R_2 is removed still potential in the resistance 1 will be V

so P_1= V^2/R_1

so power dissipated in R_1 is same

(iii) current remains the same

V= I_1 * R_1 =I_2 *R_2

so, I_1= V/R_1

when R_2 is removed

I_1= V/R_1

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