In a parallel network of four 1000-ohm resistors across 100 V, what is the current through a single resistor?

In a parallel network of four 1000-ohm resistors across 100 V, what is the current through a single resistor?

• A. 0.01 A
• B. 0.1 A
• C. 1 A
• D. 10 A

Answer: (B)

In a parallel circuit, every resistor has the same voltage across it, and each branch draws current independently according to Ohm’s law. With 100 V across a 1000 Ω resistor, the current through that resistor is I = V/R = 100 V / 1000 Ω = 0.1 A. Since there are four resistors in parallel, each one carries 0.1 A, so the total current from the source would be 0.4 A, but the question asks for the current through a single resistor. The other numbers would come from different voltages or resistances; for example, 0.01 A would require a resistor ten times larger or a voltage ten times smaller.

In a parallel circuit, every resistor has the same voltage across it, and each branch draws current independently according to Ohm’s law. With 100 V across a 1000 Ω resistor, the current through that resistor is I = V/R = 100 V / 1000 Ω = 0.1 A. Since there are four resistors in parallel, each one carries 0.1 A, so the total current from the source would be 0.4 A, but the question asks for the current through a single resistor. The other numbers would come from different voltages or resistances; for example, 0.01 A would require a resistor ten times larger or a voltage ten times smaller.