A circuit consists of a 2 - F capacitor connected through an a-c- ammeter to an a-c- source of voltage given by V -200 -2sin100 t -3 where V is in volts and t in seconds- The reading of the ammeter isA- 30 mAB- 20 mAC- 10 mAD- 40 mA

The correct option is D 40 mAAn a.c. ammeter reads the rms value of current. Given V_0=200√(2) volts and ω=100 rad s^ 1 I_rms=V_rms×ω C 200√(2)/√(2)× 100 × ( ...

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Byju's Answer

Standard XII

Physics

Capacitive Reactance

A circuit con...

Question

A circuit consists of a $2 μ F$ capacitor connected through an a.c. ammeter to an a.c. source of voltage given by $V = 200 \sqrt{2} s i n (100 t + \frac{π}{3})$ where V is in volts and t in seconds. The reading of the ammeter is

10 mA

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20 mA

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30 mA

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40 mA

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Solution

The correct option is D 40 mA
An a.c. ammeter reads the rms value of current.
Given $V_{0} = 200 \sqrt{2}$ volts and $ω = 100 r a d s^{- 1}$
$I_{r m s} = V_{r m s} \times ω C$
$\frac{200 \sqrt{2}}{\sqrt{2}} \times 100 \times (2 \times 10^{- 6} = 40 m A$ .

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A circuit consists of a 2μF capacitor connected through an a.c. ammeter to an a.c. source of voltage given by V=200√2sin(100t+π3) where V is in volts and t in seconds. The reading of the ammeter is

The correct option is D 40 mAAn a.c. ammeter reads the rms value of current. Given V0=200√2 volts and ω=100 rad s−1 Irms=Vrms×ωC 200√2√2×100×(2×10−6=40 mA.

A circuit consists of a $2 μ F$ capacitor connected through an a.c. ammeter to an a.c. source of voltage given by $V = 200 \sqrt{2} s i n (100 t + \frac{π}{3})$ where V is in volts and t in seconds. The reading of the ammeter is

The correct option is D 40 mA
An a.c. ammeter reads the rms value of current.
Given $V_{0} = 200 \sqrt{2}$ volts and $ω = 100 r a d s^{- 1}$
$I_{r m s} = V_{r m s} \times ω C$
$\frac{200 \sqrt{2}}{\sqrt{2}} \times 100 \times (2 \times 10^{- 6} = 40 m A$ .