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Ohm's law formula in series and parallel circuits
The formula of ohm's law in series and parallel circuits is explained in detail as follows:

1, ohm's law is one of the basic principles of circuit analysis, which describes the relationship among current, voltage and resistance in the circuit. In series and parallel circuits, ohm's law has different forms. In a series circuit, the current is equal everywhere.

2. Ohm's law can be expressed as: I=U/R, where I is current (unit: ampere), U is voltage (unit: volt) and R is resistance (unit: ohm). This formula shows that in a series circuit, current is directly proportional to voltage and inversely proportional to resistance. In other words, when the resistance in the circuit increases, the current will decrease and the voltage will increase.

3. In parallel circuit, the voltage of each branch is equal. Therefore, ohm's law can be expressed as: U=IR, where u is voltage (in volts), I is current (in amperes) and r is resistance (in ohms). This formula shows that in parallel circuit, voltage is directly proportional to current and inversely proportional to resistance.

4. The formulas of Ohm's law in series and parallel circuits are different because the current paths of the two circuits are different. In series circuit, current can only flow along one path, while in parallel circuit, current can flow along multiple paths. So in series circuit, the currents are equal everywhere, while in parallel circuit, the voltages of each branch are equal.

The significance of ohm's law

1, ohm's law is one of the basic principles of circuit analysis, which describes the relationship among current, voltage and resistance in the circuit. Ohm's law means that in a circuit, current is directly proportional to voltage and inversely proportional to resistance. This means that when the voltage in the circuit increases, the current will also increase accordingly; When the resistance in the circuit increases, the current will decrease.

2. This law can be expressed as I=U/R by mathematical formula, where I stands for current, u stands for voltage and r stands for resistance. Ohm's law has a wide range of applications, which can be used to describe DC circuits, AC circuits, metal wires and semiconductor devices. Therefore, ohm's law has important application value in circuit analysis and design.

3. Ohm's law can also be extended to parallel connection and series connection in circuits. In parallel circuit, the voltage on each branch is equal, so the current on each branch is inversely proportional to the resistance on that branch; In a series circuit, the voltage on each resistor is equal, so the current on each resistor is equal, and the total current is inversely proportional to the total resistance.