Solveeit Logo

Question

Physics Question on Current electricity

Power dissipated across the 8 Ω resistor in the circuit shown here is 2 W. The power dissipated in watt units across the 3 Ω resistor is:Power dissipated across the 8 Ω resistor in the circuit

A

6

B

1.5

C

0.45

D

3

Answer

3

Explanation

Solution

To calculate power, you can use the formula P=V2RP = \frac {V^2}{R},
Where V is the voltage and R is the resistance.
The power dissipated across the 8 Ω resistor is 2 W.
voltage across the 8 Ω resistor:
2=V282 = \frac {V^2}{8}
V2=16 VV^2 = 16 \ V
V=16 VV =\sqrt { 16} \ V
V=4 VV = 4 \ V
Now, power dissipated across the 3 Ω resistor:
P=V2RP = \frac {V^2}{R}

P=423P = \frac {4^2}{3}

P= 16/3 W.