Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) between them. The formula is: V=I×RV = I \times R Using this formula, you can calculate:
A voltage drop is the reduction in voltage across a component or conductor in a circuit. It occurs due to the resistance of the component or conductor, which causes energy to be lost as heat. The voltage drop across a resistor in a circuit can be calculated using Ohm's Law: Vdrop=I×RV_{drop} = I \times R
The electrical power (P) in a circuit is the rate at which energy is consumed or converted. The relationship between power, voltage, and current is given by: P=V×IP = V \times I For resistive circuits, power can also be expressed using Ohm's Law: P=I2×RP = I^2 \times R P=V2RP = \frac{V^2}{R}
Series Circuits:
Parallel Circuits:
Kirchhoff's Voltage Law (KVL) states that the sum of all electrical potential differences (voltages) around any closed loop or mesh in a circuit is zero. This means that the total voltage supplied by sources in the loop is equal to the sum of voltage drops across all elements in the loop. KVL is applied by writing an equation for each loop in the circuit, summing the voltages, and setting the sum equal to zero: ∑V=0\sum V = 0
Kirchhoff's Current Law (KCL) states that the sum of currents entering a junction (or node) is equal to the sum of currents leaving the junction. This is based on the principle of conservation of charge. KCL is applied by writing an equation for each node in the circuit, summing the currents entering and leaving the node, and setting the sum equal to zero: ∑Iin=∑Iout\sum I_{in} = \sum I_{out}
Equivalent resistance is the single resistance that can replace a combination of resistors in a circuit without changing the overall current or voltage in the circuit. It simplifies the analysis of complex circuits. For resistors in series, the equivalent resistance is the sum of the individual resistances: Req=R1+R2+R3+…R_{eq} = R_1 + R_2 + R_3 + \ldots For resistors in parallel, the equivalent resistance is given by the reciprocal of the sum of the reciprocals of the individual resistances: 1Req=1R1+1R2+1R3+…\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots