If the voltage across a 5μF capacitor is V(t) = 40 cos(6000t) volt, then the current through it is:

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SSC JE Electrical 16 Nov 2022 Shift 3 Official Paper
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  1. -1.2 sin(6000t) amp
  2. -1.2 cos(6000t) amp
  3. 1.2 sin(6000t) amp
  4. 1.2 cos(6000t) amp

Answer (Detailed Solution Below)

Option 1 : -1.2 sin(6000t) amp
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Detailed Solution

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The correct answer is option1):(-1.2 sin(6000t) amp)

Concept:

The current through the capacitor at the moment is equal to

i(t) = C 

where 

v(t) is the voltage

Calculation:

Given

C = 5 × 10-6 F 

 V(t) = 40 Cos(6000t) 

i(t) = C 

5 × 10-6 (40 Cos(6000t) )

= - 5 × 10-6  × 6000 × 40 sin 6000t

= - 1.2 sin 6000t A

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