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CBSE Class 12-science Answered

A resistor of 12 Ω and inductance 2 H are connected in series to a 220 V, 50 Hz a.c. source. Find the total impedance of LR circuit.
Asked by Topperlearning User | 22 Jun, 2015, 10:35: AM
answered-by-expert Expert Answer

Given:

R=12 Ω

L=2 H

ν=50 Hz 

Impedance of LR circuit is given as,

begin mathsize 12px style straight Z equals square root of straight R squared plus straight X subscript straight L superscript 2 end root equals square root of straight R squared plus left parenthesis ωL right parenthesis squared end root
straight Z equals square root of 12 squared plus left parenthesis 2 cross times straight pi space cross times 50 cross times 2 right parenthesis squared end root
straight Z equals 628.11 space straight capital omega end style

Answered by | 22 Jun, 2015, 12:35: PM

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