Final answer:
The value of resistor r in the circuit is 10 Ohm.
Step-by-step explanation:
In a circuit containing two resistors in parallel with resistances of 15 Ω and 7 Ω, the equivalent resistance can be calculated using the formula:
Req = (R1 * R2) / (R1 + R2)
Substituting in the given resistance values:
Req = (15 Ω * 7 Ω) / (15 Ω + 7 Ω) = 10 Ω
Therefore, the value of resistor r in the circuit is 10 Ohm.