1.

A bettery of emf 10 V and internal resistacne 3 Omega is connected to a resistor. Ifthe current in the circuit is 0.5A, what is the resistance of the resistor ? What is the terminal voltage of the bettery when the circuit is closed ?

Answer»

Solution :For the adjoining closed LOOP,
`I = (EPSILON)/(R + r)`
`THEREFORE R +r = (epsilon)/(I)`
`therefore R = (epsilon)/(I) -r `
= `(10)/(0.5) - 3 `
`therefore R = 17 Omega`
Terminal voltage of battery,
`V_(ab) = IR `
= (0.5) (17)
= 8.5 V
OR
V = `epsilon - `Ir
`= 10 - (0.5) (3)`
= 10 - 1.5
= 8.5 Volt


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