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When the switch 1 is closed, the current...

When the switch 1 is closed, the current through the `8 Omega` resistance is `0.75A`. When the switch 2 is closed (only), the current through the resistance marked x is 1 A. The value of E is

A

5 V

B

18 V

C

10 V

D

15 V

Text Solution

Verified by Experts

The correct Answer is:
B
b. When switch (1) is closed

`I_1 = I (4/(4+12)) or 3/4 = I(1/4)`
`I = 3A`
When switch (2) is closed the current through resistance x is
1 A. hence
`V_(AB) = 1 xx ((4 xx 12)/(4+12)) or V_(AB) = 3V`
hence potential difference across x will be 3 V.
`x = 3/7 = 3 Omega`
Hence `epsilon = 3(3+3) = 18V` .
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