Question

In the two electric circuits shown in the figure, determine the readings of ideal ammeter (A) and the ideal voltmeter (V).

In the two electric circuits shown in the figure, determine the readings of ideal ammeter (A) and the ideal voltmeter (V). 13. 55m1 sv 1.00 05 Q 3.00 45 Q 6.00 In the two electric circuits shown in the figure, determine the readings of ideal ammeter (A) and the ideal voltmeter OR In the circuit shmvn in the figure, find the current through each resistor. 1.00 05 Q 45 Q

Answer 1

13. (a) Both the batteries are in same direction , hence, combined potential of batteries is E = E₁ + E₂ = 6V + 9V = 15V [ E₁ = 6V, E₂ = 9V ]
use Ohm's law,
I = V/Req = 15/2 = 7.5A [ both the resistors are in series ]
so, reading of Ammeter is 7.5 A
Now, reading of voltmeter , V = ξ - ir₁ [ here r₁ = 1Ω, ξ = 6V]
V = 6 - 7.5 × 1 = -1.5V

(b) both the batteries are in opposite direction , hence , combined potential of batteries is E = 9V - 6V = 3V
so, I = V/Req = 3/2 = 1.5A
So, reading of Ammeter is 1.5 A
Now, reading of voltmeter ,V = ξ + ir₁
V = 6 + 1.5 × 1 = 7.5V

Or

Let i₁ current is passing through 3Ω resistor , i₂ current is passing through 6Ω
And I current is passing through big loop as shown in figure.

Req = 0.5Ω + 1.5Ω + 4.5Ω + 3 × 6/(6 + 3)Ω
Req = 6Ω + 2Ω = 8Ω

Now, I = (8 - 4)/8 = 1/2A
so, i₁ = i × 6/(3 + 6) = 1/2 × 2/3 = 1/3A
i₂ = I × 3/(3 + 6) = 1/6 A

Answer 2

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