A DC source with internal resistance `R_(0)` is connected to three identical resistors each of resistance R as shown in the figure. If the thermal power generated in the circuit is highest, then

Options

A. `R = 2R_(0)`
B. `R = 3R_(0)`
C. `R = (R_(0))/(3)`
D. `R = R_(0)`

Answer

B

Explanation

For maximum power, `R_(0) = R_(eq)` of circuit.

Given, resistances are in parallel combination, the equivalent value is
`(1)/(R_(eq)) = (1)/(R_(0)) = (1)/(R ) + (1)/( R) + (1)/(R ) = (3)/(R )`
`rArr R_(0) = (R )/(3) or R = 3R_(0)`