A certain series circuit is made up of a 18W resistor a W r

A certain series circuit is made up of a 1/8W resistor, a ¼ W resistor and a ½ W resistor. The total resistance is 2400 Ohms. If each one of the resistors is operating at its maximum power, calculate the value of each resistor as well as the value of the current through the circuit.

Solution

here,

Total Power = P1 + P2 + P3

= 7/8 watt

now the power P = I² R

7/8 = I² * 2400

Total current I = 19.09 mA (fourth Row)

  for the first register P = I² R

1/8 = (19.09mA)² * R

R = 343 ohm (first row)

  for the Second register P = I² R

1/4 = (19.09mA)² * R

R = 686 ohm (second Row)

  for the third register P = I² R

1/2 = (19.09mA)² * R

R = 1372 ohm (third Row)