Question

Write down the expression of equivalent resistance for ‘n’ – number of resistors in series connection.

Answer 1

To find the equivalent resistance \( R_{eq} \) of \( n \) resistors connected in series, you simply add up their individual resistances. If \( R_1, R_2, \ldots, R_n \) are the resistances of the resistors, the expression is:

\[ R_{eq} = R_1 + R_2 + R_3 + \cdots + R_n \]

Answer 2

For resistors connected in series, the total or equivalent resistance \( R_{eq} \) is the sum of the individual resistances. If you have \( N \) resistors connected in series, with each resistor having resistance \( R_1, R_2, R_3, \ldots, R_N \), then the equivalent resistance \( R_{eq} \) is given by:

\[ R_{eq} = R_1 + R_2 + R_3 + \cdots + R_N \]

In general form, this can be expressed as:

\[ R_{eq} = \sum_{i=1}^{N} R_i \]

where \( R_i \) represents the resistance of the \( i \)-th resistor in the series.