Solution Found!
One of the three elements shown in Figure P 7.5- 23 is a resistor, one is a capacitor
Chapter 7, Problem P7.5-23(choose chapter or problem)
One of the three elements shown in Figure P 7.523 is a resistor, one is a capacitor, and one is an inductor. Given
v(t) = 24 cos (5t) V,
and \(i_{\mathrm{a}}(t)=3 \cos (5 t) \mathrm{A}, i_{\mathrm{b}}(t)=12 \sin (5 t) \mathrm{A}\) and \(i_{\mathrm{c}}(t)=\) \(-1.8 \sin (5 t) \mathrm{A}\), determine the resistance of the resistor, the capacitance of the capacitor, and the inductance of the inductor. (We require positive values of resistance, capacitance, and inductance.)
Questions & Answers
QUESTION:
One of the three elements shown in Figure P 7.523 is a resistor, one is a capacitor, and one is an inductor. Given
v(t) = 24 cos (5t) V,
and \(i_{\mathrm{a}}(t)=3 \cos (5 t) \mathrm{A}, i_{\mathrm{b}}(t)=12 \sin (5 t) \mathrm{A}\) and \(i_{\mathrm{c}}(t)=\) \(-1.8 \sin (5 t) \mathrm{A}\), determine the resistance of the resistor, the capacitance of the capacitor, and the inductance of the inductor. (We require positive values of resistance, capacitance, and inductance.)
ANSWER:
Step 1 of 3
The voltage is known, and we don’t know which current to use.
According to Ohm’s law resistance equals:
In order to find resistance,we need to divide the voltage with one of the current. We can conclude that the only suitable current is 
=
=
Voltage across an inductor equals:
Solving for 
