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  4. An ac ammeter is used to measure current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads 3 A. When another alternating current passes through the circuit, the ac ammeter reads 4 A. Then find the reading of this ammeter (in A), if dc and ac flow through the circuit simultaneously.

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Q. An ac ammeter is used to measure current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads $3 \,A$. When another alternating current passes through the circuit, the ac ammeter reads $4 \,A$. Then find the reading of this ammeter (in $A$), if dc and ac flow through the circuit simultaneously.

Alternating Current

Solution:

Net current: $I=3+4 \sqrt{2} \sin \omega t$
Now find $I_{ v }=\sqrt{\frac{\int\limits_{0}^{T}(3+4 \sqrt{2} \sin \omega t)^{2} d t}{T}}=5 A$