In the given circuit

the current through the battery is

Options

A. 0.5 A
B. `1A`
C. 1.5 A
D. `2A`

Answer

C

Explanation

In the given circuit, diode `D_(1)` is reverse biased, so it will not conduct. Diodes `D_(2) and D_(3)` are forward biased, so they will conduct. The corresponding equivalent circuit is as shown in the figure.
The equivalent resistance of the circuit is
`R_(eq)=((5+5)xx20)/((5+5)+20)=(10xx20)/(10+20)=(200)/(30)=(20)/(3)Omega`
Current through the battery, `I=(10V)/((20)/(3)Omega)=1.5A`