A 10 ohm resistor is connected to a voltage source. How many times will the total resistance change if four more resistors of 10 Ohm each are connected in parallel?
1. With parallel resistance of resistors of the same resistance, the total resistance of the circuit can be determined by the formula: Rtot = R / n, where R is the resistance of one resistor, n is the number of parallel-connected resistors.
2. Determine the total (equivalent) resistance of the circuit:
Rtot = R / n = 10 / (1 + 4) = 2 ohms.
3. Find the multiplicity of changes in the resistance of the circuit: k = R / Rtotal = 10/2 = 5.
Answer: the resistance of the circuit will decrease by 5 times.
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