Question

Finding Missing Values for a Series Circuit. Please Help!?

A three component series circuit with a 100V source. R1 is equal to 23 kiloohm and VR1 is 30% of Va. VR2 is equal to 1/5 the Va. What are values are V1, P1, R2, V2, P2, R3, V3, P3, IT, PT and RT?

Thanks for the help!

Answers

VR1=30% of Va = 0.3x100 = 30 Volt.

Current in R1 = I1 = V1/R1

= 30/23000 A

= 0.0013 A.

P1=V1xI1

= 30x0.0013 Watt

= 0.039 Watt

VR2 = 1/5 of Va = 100/5 = 20 Volt.

Current in R2= I2 = I1 = 0.0013 A

R2= V2/I2

= 20/0.0013 Ohm

= 15385 ohm.

P2=V2xI2

= 20 x 0.0013 Watt

= 0.026 watt

V3=100-30-20 Volt

= 50 Volt.

I3=I2=I1 = 0.0013

R3=V3/I3

= 50/0.0013 =38461 Ohm

P3 = V3xI3 = 50x0.0013watt

= 0.065 Watt

It = I1=I2=I3 = 0.0013 A

Pt= VtxIt

= 100x0.0013 watt = 0.13 watt.

or PT=P1+P2+P3 = 0.13 watt.

Rt= 23000 + 15385 + 38461 = 76486 Ohm

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