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If voltage drop across resistance is 100V and current is 5A, what is value of resistance?
10╬й
20╬й
30╬й
40╬й
20╬й
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=IVтАЛ
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├ЧR
Rearrange formula for Resistance
Isolate the resistance R on one side of the equation to solve for its value.
R=IVтАЛ
Perform calculation
Substitute the given values into the formula to find the resistance in Ohms.
R=5A100VтАЛ=20╬й
B is correct because applying Ohm's Law with the given voltage of 100V and current of 5A yields a resistance of 20╬й.
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).