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

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.