In the circuit on the bottom, all six resistors share the same value, R. Calcula

Question

In the circuit on the bottom, all six resistors share the same value, R. Calculate the equivalent resistance between points A and B when switch S is closed as a percentage of the equivalent resistance when switch S is open.

= _____________ %

If each resistor has a resistance R = 34.3 , calculate the resistance between points A and B after switch S is closed.

= ___________

Explanation / Answer

(1)when switch is closed total resistance = 2R/3 when switch is closed current will not flow from the left bottom loop so we have to neglect that resistance =>total resistance = R/3 + R/2 = 5R/6 percentage = (6/5)*(2/3)*100 = 80 % (2)when switch is closed total resistance = 2R/3 = 2*34.3/3 = 22.86 ohm

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