A battery of e.m.f. `10 V` is connected to resistance as shown in figure. The potential difference `V_(A) - V_(B)` between the point `A` and `B` is

Options

A. `- 2 V`
B. `2 V`
C. `5 V`
D. `(20)/(11) V`

Answer

B

Explanation

(b) `R_(eq) = 5 Omega`, Current `i= (10)/(5) = 2 A` and current in each branch `= 1A`
Potential difference between `C` and `A`,
`V_(C ) - V_(A) = 1 xx = 1V`
Potential difference between `C` and `B`,
`V_(C ) - V_(B) = 1 xx 3 = 3V`
On solving (i) and (ii) `V_(A) - V_(B) = 2` volt