In the circuit below: V A = 26 V ac , R = 35 , and X L = 53 . A. Calculate the c

ID: 1598766 • Letter: I

Question

In the circuit below: VA = 26 Vac, R = 35 , and XL = 53 .

A. Calculate the current IR through the resistor R and the current IL through the inductor. Round the final answer to one decimal place.

B. Determine the total current IT in the circuit. Round the final answer to one decimal place.

C. Determine the equivalent impedance ZEQ in the circuit. Round the final answer to one decimal place.

D. Determine the phase angle when XL and R are connected in parallel. Round the final answer to two decimal places.

step;1

Given that

Voltage V=26 v

resistance R=35 ohm

inductance reactance XL=53 ohm

step;2

now we find the impedance of the cicuit

impedance Z=[(1/R)^2+(1/XL)^2]^1/2=[(1/35)^2+(1/53)^2]^1/2=[8.2*10^-4+3.6*10^-4]^1/2=3.44*10^-2 ohm

step;3

now we find the total current

the total current Itotal=26/3.44*10^-2=755.8 A

step;4

now we find the current on resistance and incuctance

current on resistance Ir=35*755.8/35+53=300.6 A

current on inductance IL=53*755.8/35+53=455.2 A

step;5

now we find the phase angle b/w XL and R

the phase angle=tan^-1[R/XL]=tan^-1[35/53]=33.44 degree