When resistance are connected circuit then?

When resistors are connected in a circuit, they create a path for the flow of electric current. The total resistance in the circuit is determined by the combination of all the individual resistances. The current flowing through each resistor is determined by Ohm's Law (I = V/R), where I is the current, V is the voltage, and R is the resistance. The voltage drop across each resistor is proportional to its resistance, with higher resistance resulting in a larger voltage drop. Overall, connecting resistors in a circuit allows for control of the current and voltage levels within the circuit.

When resistors are connected in a circuit, they affect the current and voltage in the circuit as follows:

Series Connection:
- Resistors are connected one after another, with only one path for the current to flow.
- The total resistance (RT) is the sum of the individual resistances (R1, R2, ..., Rn): RT = R1 + R2 + ... + Rn
- The voltage across each resistor is directly proportional to its resistance: V1 = R1 - I, V2 = R2 - I, ..., Vn = Rn - I
- The current through each resistor is the same and is equal to the total current in the circuit: I = V / RT

Parallel Connection:
- Resistors are connected side-by-side, providing multiple paths for the current to flow.
- The total resistance (RT) is given by the reciprocal of the sum of the reciprocals of the individual resistances: 1/RT = 1/R1 + 1/R2 + ... + 1/Rn
- The voltage across each resistor is the same and is equal to the total voltage applied to the circuit: V1 = V2 = ... = Vn = V
- The current through each resistor is inversely proportional to its resistance: I1 = V / R1, I2 = V / R2, ..., In = V / Rn

Combined Effects:
- When resistors are connected in a combination of series and parallel, the total resistance is calculated using a combination of the series and parallel rules.
- The current and voltage distribution in the circuit can be determined by applying Ohm's Law to each resistor.
- The total power dissipated in the circuit is given by the sum of the power dissipated in each resistor: P = I^2 - RT

Effects on Current and Voltage:

- Series Connection: Increases the total resistance, reducing the current and increasing the voltage across each resistor.
- Parallel Connection: Decreases the total resistance, increasing the current and reducing the voltage across each resistor.

Applications:

- Controlling current and voltage levels in circuits
- Dividing voltage or current among multiple components
- Matching impedances between devices
- Protecting sensitive components from excessive current or voltage

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