R1 = R4 = R5 = R6 = 100 oM R2 = R3 = 200 OM Find the total resistance and current

| August 14, 2021 | education

R1 = R4 = R5 = R6 = 100 oM R2 = R3 = 200 OM Find the total resistance and current I3 if the circuit is connected to a voltage of 220 V.

Solution:
There are two cases to consider here:
1) If the resistors are connected in parallel, the total resistance will be (R1 * R2) / (R1 + R2). Let’s calculate this resistance: (100 * 200) / (100 + 200) = 66.6 Ohm. According to Ohm’s Law, R = U / I. Hence it follows that I = U / R. Let’s calculate the current in the circuit: 220 / 66.6 = 3.3 A.
2) If the resistors are connected in series, the total resistance will be R1 + R2. Let’s calculate this resistance: 100 + 200 = 300 Ohm. Then the current in the circuit will be 220/300 = 0.73 A.
Answer: If the resistors are connected in parallel: the total resistance is 66.6 ohms, the current in the circuit is 3.3 amperes. If the resistors are connected in series: the total resistance is 300 ohms, and the current in the circuit is 0.73 amperes.



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