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Examoogle • User • info@examoogle.com • EE-2024-8821
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If voltage drop across resistance is 100V and current is 5A, what is value of resistance?
10Ω
20Ω
30Ω
40Ω
20Ω
Quick Summary: Given: Voltage drop across the resistance V = 100V, Current flowing through the circuit I = 5A
Voltage drop across the resistance V = 100V, Current flowing through the circuit I = 5A
R=IV
Identify given parameters
Extract the values provided in the problem statement for potential difference and current.
V=100V,I=5A
State Ohm's Law
Ohm's Law relates the voltage drop, current, and resistance in a circuit component.
V=I×R
Rearrange formula for Resistance
Isolate the resistance R on one side of the equation to solve for its value.
R=IV
Perform calculation
Substitute the given values into the formula to find the resistance in Ohms.
R=5A100V=20Ω
B is correct because applying Ohm's Law with the given voltage of 100V and current of 5A yields a resistance of 20Ω.
This fundamental relationship is the basis for analyzing more complex circuits, including series-parallel combinations and impedance calculations in A.C. circuits using complex numbers (impedance Z = R + jX).