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Define Ohm's law. How is it used to calculate resistance?

1 Answer

Ohm's Law is a fundamental principle in electrical engineering and physics that relates the voltage (V), current (I), and resistance (R) in an electrical circuit. It states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance of the conductor.

Mathematically, Ohm's Law is represented as:

V = I * R

where:
V = Voltage (measured in volts, V)
I = Current (measured in amperes, A)
R = Resistance (measured in ohms, Ω)

This equation can be rearranged to solve for different parameters, depending on what is known:

To calculate voltage (V):
V = I * R

To calculate current (I):
I = V / R

To calculate resistance (R):
R = V / I

In practical applications, Ohm's Law is used to calculate the resistance of a component or a circuit when the voltage and current values are known. This is particularly useful when designing and analyzing circuits, as it allows engineers to determine the resistance required for a specific current-voltage relationship or vice versa.

For example, if you have a circuit with a known voltage of 12 volts (V) and a current of 2 amperes (A) flowing through it, you can calculate the resistance using Ohm's Law:

R = V / I
R = 12 V / 2 A
R = 6 Ω

So, the resistance of the circuit is 6 ohms. This relationship holds true for both simple and complex circuits, making Ohm's Law an essential tool for electrical engineers and hobbyists alike.
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