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CBSE Class 12-science Answered

In a series RC circuit, R = 30 Ω, C = 0.25 μF, V = 100 V and ω = 1,00,000 rad /s. Find the current in the circuit and calculate the voltage across the resistor and the capacitor.  
Asked by Topperlearning User | 22 Jun, 2015, 08:41: AM
answered-by-expert Expert Answer
Given:
 
R = 30 Ω
C = 0.25 μF = 0.25 x 10-6 F
V = 100 V
ω = 1,00,000 = 105 rad /s

Rectance  Xc = begin mathsize 12px style 1 over ωC equals fraction numerator 1 over denominator 10 to the power of 5 space straight x space 0.25 space straight x space 10 to the power of negative 6 end exponent end fraction space equals space 40 space straight capital omega end style

Impedance of circuit Z = Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Current in circuit I = begin mathsize 12px style straight V over straight Z space equals 100 over 50 equals 2 space straight A end style

Voltage across resistance VR = RI = 30 × 2 =60 V

Voltage across capacitance, VC =  XCI = 40 × 2 = 80V

The sum of volatages is more than the applied voltage, this is due

to the phase difference of between Voltage VR and V.

Answered by | 22 Jun, 2015, 10:41: AM

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