Question

Three resistors having values R battery. Suppose R₁ carries a current of 2.0 A, R ohms, and R₃ dissipates 6.0 watts of power. Then the voltage across R is ______.

Options

• 1V

• 2V

• 3V

• 4V

Answer 1

Three resistors having values R battery. Suppose R₁ carries a current of 2.0 A, R ohms, and R₃ dissipates 6.0 watts of power. Then the voltage across R is 3V.

Explanation:

Given

I = 2 A, R₂ = 3 Ω, P₃ = 6 W

Power across R₃ = V₃I

6 W = I² R₃

`6/4 = "R"_3 = 3/2 = 1.5Omega`

V₃ = I R₃ = 2 (1.5)

= 3 V