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A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?
- a)Both have equal resistance
- b)The 10sqm wire has higher resistance
- c)The 15sqm wire has higher resistance
- d)The value of resistance cannot be determined from the given data
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A wire having an area of cross section = 10sqm and another wire having...
Resistance is inversely proportional to area of cross section. As area of cross section increases, resistance decreases. Hence the 10sqm wire has higher resistance than the 15sqm wire.
Most Upvoted Answer
A wire having an area of cross section = 10sqm and another wire having...
Explanation:
Resistance is defined as the opposition to the flow of electric current. It depends on the material and geometry of the wire. In this case, both wires have the same length and are made up of the same material. However, they have different cross-sectional areas.
Resistance and cross-sectional area:
Resistance is inversely proportional to the cross-sectional area of a wire. A wire with a larger cross-sectional area will have lower resistance compared to a wire with a smaller cross-sectional area. This can be explained using the formula for resistance:
R = ρ * (L/A)
Where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
Comparison of the wires:
Let's compare the wires with cross-sectional areas of 10 sqm and 15 sqm.
For the wire with a cross-sectional area of 10 sqm:
R1 = ρ * (L/10)
For the wire with a cross-sectional area of 15 sqm:
R2 = ρ * (L/15)
Since the resistivity (ρ), length (L), and material are the same for both wires, we can compare the resistance by comparing the values of (L/10) and (L/15).
Comparing (L/10) and (L/15):
Let's assume the length of the wire is L units.
(L/10) > (L/15)
Since L is positive and common in both terms, we can cancel it out.
1/10 > 1/15
Comparing the fractions, we can see that 1/10 is greater than 1/15.
Therefore, the wire with a cross-sectional area of 10 sqm has higher resistance compared to the wire with a cross-sectional area of 15 sqm. Hence, the correct answer is option 'B': The 10 sqm wire has higher resistance.
Resistance is defined as the opposition to the flow of electric current. It depends on the material and geometry of the wire. In this case, both wires have the same length and are made up of the same material. However, they have different cross-sectional areas.
Resistance and cross-sectional area:
Resistance is inversely proportional to the cross-sectional area of a wire. A wire with a larger cross-sectional area will have lower resistance compared to a wire with a smaller cross-sectional area. This can be explained using the formula for resistance:
R = ρ * (L/A)
Where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
Comparison of the wires:
Let's compare the wires with cross-sectional areas of 10 sqm and 15 sqm.
For the wire with a cross-sectional area of 10 sqm:
R1 = ρ * (L/10)
For the wire with a cross-sectional area of 15 sqm:
R2 = ρ * (L/15)
Since the resistivity (ρ), length (L), and material are the same for both wires, we can compare the resistance by comparing the values of (L/10) and (L/15).
Comparing (L/10) and (L/15):
Let's assume the length of the wire is L units.
(L/10) > (L/15)
Since L is positive and common in both terms, we can cancel it out.
1/10 > 1/15
Comparing the fractions, we can see that 1/10 is greater than 1/15.
Therefore, the wire with a cross-sectional area of 10 sqm has higher resistance compared to the wire with a cross-sectional area of 15 sqm. Hence, the correct answer is option 'B': The 10 sqm wire has higher resistance.
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A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?a)Both have equal resistanceb)The 10sqm wire has higher resistancec)The 15sqm wire has higher resistanced)The value of resistance cannot be determined from the given dataCorrect answer is option 'B'. Can you explain this answer?
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A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?a)Both have equal resistanceb)The 10sqm wire has higher resistancec)The 15sqm wire has higher resistanced)The value of resistance cannot be determined from the given dataCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?a)Both have equal resistanceb)The 10sqm wire has higher resistancec)The 15sqm wire has higher resistanced)The value of resistance cannot be determined from the given dataCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?a)Both have equal resistanceb)The 10sqm wire has higher resistancec)The 15sqm wire has higher resistanced)The value of resistance cannot be determined from the given dataCorrect answer is option 'B'. Can you explain this answer?.
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