Question

A 48-volt source is required to furnish 192 watts to a parallel circuit consisting of three resistors of equal value. What is the value of each resistor?

Answer 1

Answer:

36 Ω

Explanation:

Since the 3 resistors are connected in parallel.

The combined resistance of the resistor is

1/Rc = 1/R + 1/R + 1/R ...................... Equation 1

Where Rc = combined resistance of the three resistor, R1 = Resistance of each of the resistor

Rc = R/3 ....................... Equation 2

The formula of power is given as

P = V²/Rc

Rc = V²/P ................ Equation 3

Where V = Voltage, R =  Combined Resistance, P = power.

Given: V = 48 V, 192 W.

Substitute into equation 3

Rc = 48²/192

Rc = 12 Ω

From equation 2

Rc = R/3

R = 3Rc

Where Rc = 12 Ω

R = 3×12

R = 36 Ω

Hence the resistance on each resistor = 36 Ω