For the circuit shown in figure, which of the following statements is true ?

Options

A. With `S_(1)` closed, `V_(1) = 15 V, V_(2) = 20V`
B. With `S_(3)` closed, `V_(1) = V_(2) = 25V`
C. With `S_(1)` and `S_(2)` closed `V_(1) = V_(2) = 0`
D. With `S_(1)` and `S_(3)` closed `V_(1) = 30 V` and `V_(2) = 20 V`

Answer

D

Explanation

When `S_(1)` is closed `V_(1) = 30V, V_(2) = 20 V`
When `S_(3)` is closed `V_(1) = 30 V, V_(2) = 20V`
When `S_(1)` and `S_(2)` are closed `V_(1) = 30V, V_(2) = 20 V`
When `S_(1)` and `S_(3)` are closed `V_(1) = 30V, V_(2) = 20V`
When `S_(1), S_(2)` and `S_(3)` are closed `V_(1) + V_(2) = 0V, V_(1) = 0, V_(2) = 0V`