<PRE><B>Question 83562</B>
the voltage in a circuit is given by the equation V = square root of PR, where P is the power in watts ans R is the resistance in ohms. if the voltage in a circuit is 120 volts and the circuit produces 1500 watts of power, what is the resistance in the circuit
:
 {{{sqrt(P*R)}}} = V
Solve for R
P*R = {{{V^2}}}; squared both sides
R = {{{V^2/P}}}; divided both sides by P
:
Find R when V=120 and P=1500
R = {{{120^2/1500}}}
R = {{{14400/1500}}}
R = 9.6 ohms
:
One way to check our solution, is find the current; I = V/R; I = 120/9.6 = 12.5 amps
We know power = volts*amps:
P = 120*12.5
P = 1500 watts
:
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