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The equivalent resistance of the two resistors of resistance R ohm each connected in series is ________.
R/2 ohm
3R ohm
2R ohm
2/R ohm
2R ohm
When two or more resistors are connected in series, the equivalent resistance (RsтАЛ) is equal to the algebraic sum of their individual resistances. For two resistors of resistance R each connected in series, the equivalent resistance is R+R=2R.
When two or more resistors are connected in series, the equivalent resistance (RsтАЛ) is equal to the algebraic sum of their individual resistances. For two resistors of resistance R each connected in series, the equivalent resistance is R+R=2R.
Think of resistors in series like people standing in a single-file line through a narrow corridor: the total resistance (or hindrance) to movement is the sum of the hindrances of each individual person.
Series Sums Simple: In series, you simply sum the resistance values (RseriesтАЛ=R1тАЛ+R2тАЛ).
ReqтАЛ=R1тАЛ+R2тАЛ+тЛп+RnтАЛ тАФ Equivalent resistance in series
ReqтАЛ=nR тАФ Equivalent resistance for 'n' identical resistors of value 'R'
In a series combination, the same electric current flows through each resistor, and the total voltage across the combination is the sum of the potential drops across individual resistors. By Ohm's law (V=IR), the total resistance RsтАЛ=R1тАЛ+R2тАЛ+тЛп+RnтАЛ. For two identical resistors of value R, RsтАЛ=R+R=2R.
In series connection, the same current flows through all individual components.
The total equivalent resistance increases and is always greater than the largest individual resistance in the circuit.
The potential difference (voltage) gets divided across the resistors depending on their resistance values.
Useful when we need to increase the total resistance in a circuit.
Simple wiring and easier layout for decorative lights (older series strings).
If one component fails or breaks, the entire circuit is broken and current stops flowing.
Individual devices cannot be operated independently with separate switches.
Connecting multiple decorative bulbs in series (though modern ones use parallel).
Current-limiting circuits where higher total resistance is required.
For resistors connected in parallel, the equivalent resistance formula is ReqтАЛ1тАЛ=R1тАЛ1тАЛ+R2тАЛ1тАЛ.
For two equal resistors in parallel, the equivalent resistance is R/2.
C is correct тАФ The equivalent resistance of two resistors of resistance R each connected in series is 2R ohm.
Always double-check whether the combination is series or parallel before applying formulas. Series adds algebraically (RsumтАЛ), whereas parallel adds reciprocally.
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