Find the value of R such that 8 A of current flows through t

Find the value of R such that 8 A of current flows through the 80 ohm resistor. R =___

Solution

As total current is 24 A,the current passing through R ohm resistor is 16 ohms.

60,80 ohms are in series.Total resistance is 140 ohms.

Voltage across 140 ohm resistor is 140*8 Volts

140 ohms and R ohms are in parallel .In parallel voltage is same

16*R= 140*8

R=70 ohms