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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 ampere. When another alternating current passes through the circuit, the AC ammeter reads 4 ampere. Then the reading of this ammeter if DC and AC flow through the circuit simultaneously, is -

Option: 1

3 amper


Option: 2

1 amper


Option: 3

7 amper


Option: 4

5 amper


Answers (1)

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Quantity of heat liberated in the ammeter of resistance R

(i) due to direct current of 3 ampere \mathrm{=[(3) 2 \mathrm{R} / \mathrm{J}]}

(ii) due to alternating current of 4 ampere \mathrm{=\left[(4)^2 R / J\right]}

Total heat produced per second \mathrm{=\frac{(3)^2 R}{J}+\frac{(4)^2 R}{J}=\frac{25 R}{J}}

Let the equivalent alternating current be I ampere; then \mathrm{\frac{\mathrm{I}^2 \mathrm{R}}{\mathrm{J}}=\frac{25 \mathrm{R}}{\mathrm{J}}} or I = 5 amp

 

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Ritika Harsh

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