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Questions  

A resistor R=100Ω is connected in series with a capacitor. A source of supply voltagee=100cos100πtvolt  is connected across the combination. If the current through the circuit is i=42cos100πt+π4A the value of capacitance is

a
100πμF
b
50πμF
c
1πμF
d
10πμF

detailed solution

Correct option is A

Current leads the supply voltage by an angle ofπ4∴  xcR=tanπ4⇒1/ωcR=1⇒C=1ωR=1100π×100F=100πμF

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Similar Questions

The diagram shows a capacitor C and a resistor R connected in series to an ac source. V1  and V2  are voltmeters and A is an ammeter

Consider now the following statements
I. Readings in A and V2 are always in phase
II. Reading in V1 is ahead in phase with reading in V2
III. Readings in A and V1 are always in phase 

Which of these statements are/is correct  


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