Q.

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=I1sin⁡ωt+I2cos⁡ωt ⇒I2=I12sin2⁡ωt+I22cos2⁡ωt +2I1I2sin⁡ωtcos⁡ωt⇒=I12+I22 +I1I2=I122+I222 + 0 ⇒Irms==I12+I222
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An AC current is given by  I=I1sinωt+I2cosωt. A hot wire ammeter will give a reading: