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What should be the value of E1//E2 so th...

What should be the value of `E_1//E_2` so that current flowing through `7 Omega` resistor could be increased by short- circuiting the battery of emf `E_2`?

A

`E_1/E_2lt4`

B

`E_1/E_2gt3`

C

`E_1/E_2gt4`

D

`E_1 = E_2`

Text Solution

Verified by Experts

The correct Answer is:
C
c. Initially `I_1 = (E_1+E_2)/((1+2+7)) = (E_1+E_2)/10`
When `E_2` is shorted `I_2 = E_1/(1+7) = E_1/8`
If `I_2gtI_1`
`E_1/8 gt (E_1+E_2)/10 or 5/4 gt (E_1+E_2)/E_1`
or `5/4gt1+E_2/E_1 or E_2/E_1 lt 1/4`
or `E_1/E_2gt4` .
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