What is Ohm’s Law? Write its mathematical formula.

Simple Answer:

Ohm’s Law is a basic rule in electricity that explains the relationship between voltage, current, and resistance in an electric circuit. It states that the current flowing through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance. This means if voltage increases, current also increases, but if resistance increases, current decreases. The mathematical formula of Ohm’s Law is:

V=I×RV = I \times RV=I×R

where V is voltage in volts, I is current in amperes, and R is resistance in ohms.

Detailed Explanation:

Ohm’s Law was discovered by Georg Simon Ohm in 1827. It is a fundamental law used in electrical circuits to understand how voltage, current, and resistance are related. The law helps in designing and analyzing electrical circuits by predicting how much current will flow when a certain voltage is applied.

Understanding Ohm’s Law:

  • Voltage (V) is the electrical force that pushes current through a circuit. It is measured in volts (V).
  • Current (I) is the flow of electric charge in a circuit, measured in amperes (A).
  • Resistance (R) is the opposition to the flow of current, measured in ohms (Ω).

According to Ohm’s Law:

V=I×RV = I \times RV=I×R

This formula means:

  1. If voltage increases, the current also increases (if resistance is constant).
  2. If resistance increases, the current decreases (if voltage is constant).
  3. If voltage is zero, no current flows in the circuit.

Example of Ohm’s Law:

Suppose a light bulb has a resistance of 5 ohms (Ω) and is connected to a 10-volt (V) battery. The current flowing through the bulb can be calculated as:

I=VR=10V5Ω=2AI = \frac{V}{R} = \frac{10V}{5Ω} = 2AI=RV​=5Ω10V​=2A

So, 2 amperes of current will flow through the bulb.

Applications of Ohm’s Law:

  1. Electrical Circuit Design – Helps engineers design circuits by selecting the right voltage and resistance values.
  2. Appliance Safety – Ensures electrical devices work within safe current limits to prevent overheating.
  3. Troubleshooting – Helps in diagnosing electrical problems in circuits by measuring voltage, current, and resistance.
  4. Battery and Power Calculation – Used in calculating power consumption of devices using the formula P = V × I.
Conclusion:

Ohm’s Law is a simple but powerful rule in electrical engineering. It helps in understanding how electricity flows through circuits and is essential for designing, troubleshooting, and analyzing electrical systems. By using its formula, one can easily calculate voltage, current, and resistance to ensure safe and efficient operation of electrical devices.