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QJEEM18Ph8573: JEE Main 2018 Physics - Class 12 JEEM18Ph8573 Solution: In an a.c. circuit, the instantaneous e.m.f. and current are…

In an a.c. circuit, the instantaneous e.m.f. and current are given by
e = 100 sin 30 t
i = 20 sin (30t−π4)
In one cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively

Multiple Choice Options

  • A 50, 0
  • B 50, 10
  • C 10002,10
  • D 502

Step-by-Step Verified Solution

Wattless current,

here  ϕ  is the angle between i and e.

Average power,

Pav = Vrms Irms cosϕ

= 1002×202 cosπ4

= 10002 watt.

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