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Asked by Prashant DIGHE | 29 Dec, 2019, 09:56: PM
answered-by-expert Expert Answer
impedence of 5 mH inductance, XL = 5 × 10-3 × 2000 = 10 Ω
 
impedence of 50 μF Capacitance, XC = 1/ (50 × 10-6 × 2000) =  10 Ω
 
Resistance R in the circuit = 6+4 = 10 Ω  ( 4Ω  resistance of inductance coil is included )
 
Effective impedence of Circuit Z = [ R2 +( XC - XL )2 ]1/2 = [ 102 +(10-10)2 ]1/2 = 10 Ω .
 
Hence peak current = vm / Z = 20/10 = 2 A
 
RMS current = 2 × 0.707 = 1.41 A  ( Current reading in Ammeter is RMS current )
 
Since phase difference between inductor voltage and Capactor voltage is 180o out of phase
and their impedences are equal, net voltage across inductor and capacitor will be zero.
But inductor has coil resistance 4Ω . Hence voltage drop due to this coil resistance appears in voltmeter reading.
 
Hence voltmeter reading = 4 × 1.41 = 5.64 V
 
Answer:- Voltmeter and ammeter readings are 5.64 V and 1.41 A
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