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A battery of e mf 10 V and internal resi...

A battery of e mf 10 V and internal resistance `3Omega` is connected to a resistor as shown in the figure. If the current in the circuit is 0.5 A . then the resistance of the resistor will be

A

`19Omega`

B

`17Omega`

C

`10Omega`

D

`12Omega`

Text Solution

Verified by Experts

The correct Answer is:
B

Current in the circuit is given by
`l=(E )/(R+r)`
Here, `l = 0.5 A, E = 10 V, r = 3 Omega, R = ?`
`therefore " " 0.5 = (10)/(R + 3)`
or `" " 0.5 R +1.5=10 rArr R =17 Omega`
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