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Explain in detail the division of current in parallel circuits and voltagedivision in series circuit circuit.

Question

Explain in detail the division of current in parallel circuits and voltagedivision in series circuit circuit.

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Solution 1

Sure, let's start with the division of current in parallel circuits.

  1. In a parallel circuit, the current divides among each path according to the resistance of each path. The total current in the circuit is equal to the sum of the currents through each path.

  2. Ohm's law (I = V/R) is used to calculate the current through each path. If the resistance is high, the current will be low and vice versa.

  3. The voltage across each path in a parallel circuit is the same. This is because each path is directly connected to the voltage source.

  4. If one path in a parallel circuit is broken, current will continue to flow in the other paths.

Now, let's move on to voltage division in series circuits.

  1. In a series circuit, the voltage divides among each component according to the resistance of each component. The total voltage in the circuit is equal to the sum of the voltages across each component.

  2. Ohm's law (V = IR) is used to calculate the voltage across each component. If the resistance is high, the voltage will be high and vice versa.

  3. The current through each component in a series circuit is the same. This is because there is only one path for the current to flow.

  4. If one component in a series circuit is broken, current will stop flowing in the entire circuit.

In summary, in parallel circuits, current divides and voltage remains the same across each path. In series circuits, voltage divides and current remains the same through each component.

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Solution 2

Sure, let's start with the division of current in parallel circuits.

  1. In a parallel circuit, the current divides among each parallel branch and the sum of all currents through each path is equal to the total current that flows from the source. This is known as Kirchhoff's Current Law (KCL), which states that the sum of currents entering a junction or node is equal to the sum of currents leaving the node.

  2. The current through a branch in a parallel circuit can be calculated using Ohm's law. If you know the total voltage across the circuit (which is the same across each branch in a parallel circuit) and the resistance of a branch, you can calculate the current through that branch by dividing the voltage by the resistance (I=V/R).

  3. The total current in the circuit is the sum of the currents through each branch. So if you have a parallel circuit with two resistors, the total current supplied by the battery is the sum of the current through resistor one and the current through resistor two.

Now, let's move on to voltage division in series circuits.

  1. In a series circuit, the total voltage supplied by the source (like a battery) is divided among the components in the circuit. This is known as the voltage division rule, which states that the voltage across an element in a series circuit is proportional to its resistance.

  2. The voltage across a component in a series circuit can be calculated using Ohm's law. If you know the total current in the circuit (which is the same through each component in a series circuit) and the resistance of a component, you can calculate the voltage across that component by multiplying the current by the resistance (V=IR).

  3. The total voltage in the circuit is the sum of the voltages across each component. So if you have a series circuit with two resistors, the total voltage supplied by the battery is the sum of the voltage across resistor one and the voltage across resistor two.

I hope this helps! Let me know if you have any other questions.

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