An AC current is given by I=I1sinωt+I2cosωt. A hot wire ammeter will give a reading:
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a
I12+I222
b
I1+I222
c
I1+I22
d
I12−I222
answer is A.
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Detailed Solution
Hot wire ammeter read =rms value of current Given AC I=I1sinωt+I2cosωt ⇒I2=I12sin2ωt+I22cos2ωt +2I1I2sinωtcosωt⇒=I12+I22 +I1I2⇒=I122+I222 + 0 ⇒Irms==I12+I222