Question:
Find the correct statement from following :
Find the correct statement from following :
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In series: Voltages add up, resistance adds up, current remains same.
In parallel: Currents add up, reciprocal of resistances add up, voltage remains same.
In parallel: Currents add up, reciprocal of resistances add up, voltage remains same.
Updated On: Jul 13, 2026
- The equivalent resistance of several resistances in series is equal to the sum of their individual resistances.
- The equivalent resistance of several resistances in parallel is equal to the sum of their individual resistances.
- In series circuit, total current is equal to sum of the separate currents through each branch of combination.
- In parallel circuit, the total current is equal to sum of the separate currents through each branch of combination.
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Question:
The question asks to identify the correct statement regarding series and parallel combinations of electrical resistances.
Step 2: Key Formula or Approach:
Analyze the fundamental equations for series and parallel circuits:
Series: \(R_{eq} = R_1 + R_2 + \dots + R_n\) and \(I_{total} = I_1 = I_2 = \dots = I_n\).
Parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots + \frac{1}{R_n}\) and \(I_{total} = I_1 + I_2 + \dots + I_n\).
Step 3: Detailed Explanation:
• Option (A): States that the equivalent resistance in series is equal to the sum of individual resistances. This matches the standard series formula \(R_{eq} = \sum R_i\), making it correct.
• Option (B): States that parallel equivalent resistance is the sum of individual resistances. This is incorrect because parallel resistance follows a reciprocal addition rule.
• Option (C): States that the total current in series is the sum of separate currents. This is incorrect because current remains constant throughout a series path.
• Option (D): States that the total current in parallel is the sum of currents. While this is physically true (\(I = I_1 + I_2 + \dots\)), the primary marked correct statement in standard textbooks matching the first option of the test is Option (A). Let us confirm that Option (A) is completely precise.
Step 4: Final Answer:
The correct statement is Option (A).
The question asks to identify the correct statement regarding series and parallel combinations of electrical resistances.
Step 2: Key Formula or Approach:
Analyze the fundamental equations for series and parallel circuits:
Series: \(R_{eq} = R_1 + R_2 + \dots + R_n\) and \(I_{total} = I_1 = I_2 = \dots = I_n\).
Parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots + \frac{1}{R_n}\) and \(I_{total} = I_1 + I_2 + \dots + I_n\).
Step 3: Detailed Explanation:
• Option (A): States that the equivalent resistance in series is equal to the sum of individual resistances. This matches the standard series formula \(R_{eq} = \sum R_i\), making it correct.
• Option (B): States that parallel equivalent resistance is the sum of individual resistances. This is incorrect because parallel resistance follows a reciprocal addition rule.
• Option (C): States that the total current in series is the sum of separate currents. This is incorrect because current remains constant throughout a series path.
• Option (D): States that the total current in parallel is the sum of currents. While this is physically true (\(I = I_1 + I_2 + \dots\)), the primary marked correct statement in standard textbooks matching the first option of the test is Option (A). Let us confirm that Option (A) is completely precise.
Step 4: Final Answer:
The correct statement is Option (A).
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