Analyse the circuit diagram given below and answer the questions. R2 "Voltage across the $65 \Omega$ resistor in the circuit is 230 V ". Do you agree with this statement ? Explain. Calculate the effective resistance of the circuit. It the $100 \Omega$ resistor (R3) in the circuit is removed, will the effective resistance decrease ? Why ?
Explanation
No, we do not agree with the statement that the voltage across the 65 Ω resistor is 230 V. This is because the voltage across the 65 Ω resistor is actually the voltage across the parallel combination of 65 Ω and 100 Ω resistors, which is less than 230 V. The effective resistance of the circuit can be calculated using the formula 1/R_eff = 1/R1 + 1/R2 + 1/R3, where R_eff is the effective resistance and R1, R2, and R3 are the individual resistances. Given that R1 = 65 Ω, R2 = 100 Ω, and R3 = 100 Ω, the effective resistance is R_eff = (1/65 + 1/100 + 1/100)^-1 = 45.45 Ω. If the 100 Ω resistor (R3) is removed, the effective resistance will decrease, as there will be less resistance in the circuit.
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