Question

Two resistances of 5W, 5W are connected in parallel.The potential difference across the combination is 5V.Calculate the current across each resistor.

Answer 1

If the potential difference across the combination is 5 volt then the work done per unit time is 5 Joules.

if Power is equal to 5 watt then the resistance of a resistor will be 5 ohms,

1/R = 1/5+1/5
R = 2.5 ohms

we know that potential difference is equal to current * resistance

V = IR
5 = 5I
I = 1 A

So the current is 1 Ampere.

Answer 2

Given conditions ⇒

Power in R₁ = 5 W.
Power in R₂ = 5 W.

Potential difference across the combination = 5 V.

We know, the Potential difference remains same in the Parallel combinations.

 Now, For R₁,
 P = V × I
 I = P/V
 I = 5/5
 I = 2A.

For R₂,
 P = V × I
∴ I = P/V
⇒ I = 5/5
⇒ I = 1 A.

Hence, the current in both the  Resistors is 1 A.

Hope it helps.