Anyone can give me explanation about resistance in parallel and resistance in series?

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Answer

• Resistors in Series combination
In series combination current remains in each and every resistor but potential difference is not same across each. Let the total potential on adding potential difference across each resistor be V and the equivalent resistance be R. Let there be n resistors of resistance R1, R2, ...
V = V1 + V2 + ... + Vn
IR = IR1 + IR2 + ... + IRn
R = R1 + R2 + ... + Rn

• Resistors in Parallel combination
In parallel combination potential difference across each resistor remains same but currents in each are different. Let the total current on address currents in each resistance be I and the equivalent resistance be R. Let there be n resistors of resistance R1, R2, ...
I = I1 + I2 + ... + In
V/R = V/R1 + V/R2 + ... + V/Rn
1/R = 1/R1 + 1/R2 + ... + 1/Rn

Answer

Answer

Answer

No

Answer

Resistance in Parallel:
When resistors are connected in parallel, the current has multiple paths to flow through. In this configuration, the voltage across each resistor is the same, while the total current flowing through the parallel combination is the sum of the currents through each individual resistor. The equivalent resistance (R_eq) for resistors in parallel can be calculated using the formula:

1/R_eq = 1/R₁ + 1/R₂ + ... + 1/R_n

Where R₁, R₂, ..., R_n are the resistances of the individual resistors connected in parallel.

Resistance in Series:
When resistors are connected in series, the current has only one path to flow through. In this configuration, the voltage across the combination is the sum of the voltages across each individual resistor, while the current flowing through each resistor is the same. The equivalent resistance (R_eq) for resistors in series can be calculated simply by summing up the resistances of the individual resistors:

R_eq = R₁ + R₂ + ... + R_n

Where R₁, R₂, ..., R_n are the resistances of the individual resistors connected in series.

Difference between Resistance in Parallel and Resistance in Series:
The key differences between resistance in parallel and resistance in series can be summarized as follows:

Resistance in Parallel:
- The voltage across each resistor is the same.
- The total current flowing through the parallel combination is the sum of the currents through each individual resistor.
- The equivalent resistance is less than the smallest individual resistance.
- Adding more resistors in parallel decreases the total resistance.
- The total power dissipated is the sum of the power dissipated in each individual resistor.

Resistance in Series:
- The current flowing through each resistor is the same.
- The voltage across the combination is the sum of the voltages across each individual resistor.
- The equivalent resistance is the sum of the individual resistances.
- Adding more resistors in series increases the total resistance.
- The total power dissipated is the same in each individual resistor.

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