The Ohm’s Law Circuit Diagram comprises a resistance connected in series with a DC voltage source.

ohms-law-circuit-diagram

Two parallel lines having one with comparatively larger length represents the DC Source and a Zig-Zag symbol represents the resistor. Whereas the simple lines are used to represent the wires.

Now let’s start learning the basic mathematics of law using 10 Different Examples.

Example 1: A 10V battery connects in series with a 20k ohm Resistance. Find the current flowing through the circuit.

Solution: Using V1 = I1 R1.

I1 = V1/R1 = 0.5 mA

Example 2: A 15V source connects with an unknown resistor. The value of current is measured as 5 mA. Find the value of R.

Solution: R2=  V2/ I= 15V / 5mA = 3kΩ

Example 3: A 50k Resistor joins with a 25VDC Variable Supply. Find the value of unknown current that is flowing through this circuit.

Solution: I3  = V3 / R3 = 25V / 50k = 0.5mA

Example 4: The power dissipation through a 29k Resistance is 15watt. Find the value of current and input voltages supplied by the source.

Solution: Here the formulas: I = SQRT(P/R) and V = SQRT(P*R) will be used. You can learn about all these formulas from Ohmic Wheel.

Example 5: R5 = 10Ω and P5 = 20watt

Solution: V5 = 14.14 and I5 = 1.414