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Under what condition, the current passin...

Under what condition, the current passing through the resistance R can be increased by short - circuiting the battery of emf `E_2` The internal resistances of the two batteries are `r_1 and r_2,` respectively.

A

`E_(2)r_(1)gtE_(1)(R+r_(2))`

B

`E_(1)r_(2)gtE_(2)(R+r_(1))`

C

`E_(2)r_(2)gtE_(1)(R+r_(2))`

D

`E_(1)r_(1)gtE_(2)(R+r_(1))`

Text Solution

Verified by Experts

The correct Answer is:
B
`(E_(1))/(r_(1)+R)gt(E_(2)+E_(1))/(r_(1)+r_(2)+R)`
`E_(1)r_(1)+E_(1)r_(2)+E_(1)RgtE_(2)r_(1)+E_(2)R+E_(1)r_(1)+E_(1)R`
`E_(1)rgtE_(2)(r_(1)+R)`
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