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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?
- a)0.25Ω
- b)0.5Ω
- c)1Ω
- d)4Ω
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The effective resistance of a parallel connection that consists of fou...
- **Parallel Connection of Wires**
The effective resistance of a parallel connection of 4 wires is given as 0.25 Ω.
- **Calculation of Resistance in Parallel**
In a parallel connection, the total resistance (R_total) is given by the formula:
\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
- **Calculation for 4 Wires**
Given that the resistance of each wire is equal, let's assume the resistance of each wire as R. Substituting this into the formula:
\[ \frac{1}{R_{total}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} + \frac{1}{R} \]
\[ \frac{1}{R_{total}} = \frac{4}{R} \]
\[ R_{total} = \frac{R}{4} \]
- **Given Data**
Given that R_total = 0.25 Ω, we can write:
\[ 0.25 = \frac{R}{4} \]
\[ R = 1 Ω \]
- **Series Connection of Wires**
When the 4 wires are connected in series, the total resistance is the sum of individual resistances.
- **Calculation for Series Connection**
In a series connection, the total resistance (R_total) is given by the formula:
\[ R_{total} = R_1 + R_2 + R_3 + R_4 \]
- **Substitute the Value**
Since each wire has a resistance of 1 Ω, when connected in series, the total resistance will be:
\[ R_{total} = 1 + 1 + 1 + 1 = 4 Ω \]
Therefore, the effective resistance when the 4 wires are connected in series will be 4 Ω (Option D).
The effective resistance of a parallel connection of 4 wires is given as 0.25 Ω.
- **Calculation of Resistance in Parallel**
In a parallel connection, the total resistance (R_total) is given by the formula:
\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
- **Calculation for 4 Wires**
Given that the resistance of each wire is equal, let's assume the resistance of each wire as R. Substituting this into the formula:
\[ \frac{1}{R_{total}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} + \frac{1}{R} \]
\[ \frac{1}{R_{total}} = \frac{4}{R} \]
\[ R_{total} = \frac{R}{4} \]
- **Given Data**
Given that R_total = 0.25 Ω, we can write:
\[ 0.25 = \frac{R}{4} \]
\[ R = 1 Ω \]
- **Series Connection of Wires**
When the 4 wires are connected in series, the total resistance is the sum of individual resistances.
- **Calculation for Series Connection**
In a series connection, the total resistance (R_total) is given by the formula:
\[ R_{total} = R_1 + R_2 + R_3 + R_4 \]
- **Substitute the Value**
Since each wire has a resistance of 1 Ω, when connected in series, the total resistance will be:
\[ R_{total} = 1 + 1 + 1 + 1 = 4 Ω \]
Therefore, the effective resistance when the 4 wires are connected in series will be 4 Ω (Option D).
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Community Answer
The effective resistance of a parallel connection that consists of fou...
Let the resistance of each curve be R
Effective resistance in parallel combination,
Effective resistance in parallel combination,
RP = R/4
⇒ R = 4RP
⇒ R = 4 x 0.25 = 10 Q
Effective resistance is series combination,
Rs = 4R
⇒ Rs = 4 × 1 = 4 Q
⇒ R = 4RP
⇒ R = 4 x 0.25 = 10 Q
Effective resistance is series combination,
Rs = 4R
⇒ Rs = 4 × 1 = 4 Q
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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?a)0.25Ωb)0.5Ωc)1Ωd)4ΩCorrect answer is option 'D'. Can you explain this answer?
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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?a)0.25Ωb)0.5Ωc)1Ωd)4ΩCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?a)0.25Ωb)0.5Ωc)1Ωd)4ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?a)0.25Ωb)0.5Ωc)1Ωd)4ΩCorrect answer is option 'D'. Can you explain this answer?.
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