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In the circuit shown in the figure (Figure 1) , current flows through the 5.00 O

ID: 2280097 • Letter: I

Question

In the circuit shown in the figure (Figure 1) , current flows through the 5.00 Ohms resistor in the direction shown, and this resistor is measured to be consuming energy at a rate of 22.3 Watts. The batteries and the ammeter have negligibly small internal resistance, so ignore their corresponding resistances. Find the emf and the current reading by the ammeter

In the circuit shown in the figure (Figure 1) , current flows through the 5.00 Ohms resistor in the direction shown, and this resistor is measured to be consuming energy at a rate of 22.3 Watts. The batteries and the ammeter have negligibly small internal resistance, so ignore their corresponding resistances. Find the emf and the current reading by the ammeter

Explanation / Answer

Let current in Mesh 1 = I1 and that in Mesh 2 = I2

Since power dissipated via 5? = 22.3W

Current through it = ?22.3/5 = 2.11 A

In Mesh 1, 12I1 - 5I2 = -15

In Mesh 2, 7I2 - 5I1 = E

I2 - I1 = 2.11

=>I1 = -0.64A

I2 = 1.47A

E = 13.5V

Current through Ammeter = 0.64A