A 1.5-k Ω resistor is in series with unknown resistance. the applied voltage, equals 36 V and the series current is 14.4 mA. Calculate the value of the unknown resistor.

Question

A 1.5-k	Ω  resistor is in series with unknown resistance. the applied voltage, equals 36 V and the series current is 14.4 mA. Calculate the value of the unknown resistor.

anonymous · Answer

Solve for k:
-k+1.5 A = 0
Factor the left hand side.
Factor constant terms from the left hand side:
1.5 (-0.666667 k+1. A) = 0
Divide both sides by a constant to simplify the equation.
Divide both sides by 1.5:
-0.666667 k+1. A = 0
Isolate terms with k to the left hand side.
Subtract 1. A from both sides:
-0.666667 k = -1. A
Solve for k.
Divide both sides by -0.666667:
Answer: |  
 | k = 1.5 A