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Can you explain the answer of this question below:
An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will be
- A:3:1
- B:2:1
- C:1:3
- D:1:2
The answer is c.
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Most Upvoted Answer
Can you explain the answer of this question below:An electric current ...
As material is same so resistivity of both the wires will be same..
so R will depend only on length and area.
R1/R2 = L1×A2/L2×A1
R1/R2 = L1×r2^2/L2×r1^2
R1/R2 = 4×3^2/3×2^2
R1/R2 = 3/1
so i1/i2 = 1/3
so R will depend only on length and area.
R1/R2 = L1×A2/L2×A1
R1/R2 = L1×r2^2/L2×r1^2
R1/R2 = 4×3^2/3×2^2
R1/R2 = 3/1
so i1/i2 = 1/3
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Community Answer
Can you explain the answer of this question below:An electric current ...
Firstly, let's analyze the given information:
- Length ratio of the wires: 4 : 3
- Radius ratio of the wires: 2 : 3
- The wires are connected in parallel
Now, we need to use the formula for calculating the current passing through a wire:
\[ I = \dfrac {V}{R} \]
Where:
- I is the current passing through the wire
- V is the voltage applied
- R is the resistance of the wire
To find the resistance of the wires, we can use the formula:
\[ R = \dfrac{\rho L}{A} \]
Where:
- ρ is the resistivity of the material
- L is the length of the wire
- A is the cross-sectional area of the wire (πr^2 for a circular wire)
Using the given ratios, we can calculate the ratio of resistances of the wires. Since the wires are of the same material, resistivity is constant.
Next, we can substitute the resistance ratios into the current formula to find the ratio of currents passing through the wires.
Therefore, the ratio of the currents passing through the wires will be 1:3 (Option C).
- Length ratio of the wires: 4 : 3
- Radius ratio of the wires: 2 : 3
- The wires are connected in parallel
Now, we need to use the formula for calculating the current passing through a wire:
\[ I = \dfrac {V}{R} \]
Where:
- I is the current passing through the wire
- V is the voltage applied
- R is the resistance of the wire
To find the resistance of the wires, we can use the formula:
\[ R = \dfrac{\rho L}{A} \]
Where:
- ρ is the resistivity of the material
- L is the length of the wire
- A is the cross-sectional area of the wire (πr^2 for a circular wire)
Using the given ratios, we can calculate the ratio of resistances of the wires. Since the wires are of the same material, resistivity is constant.
Next, we can substitute the resistance ratios into the current formula to find the ratio of currents passing through the wires.
Therefore, the ratio of the currents passing through the wires will be 1:3 (Option C).
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Can you explain the answer of this question below:An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will beA:3:1B:2:1C:1:3D:1:2The answer is c.
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Can you explain the answer of this question below:An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will beA:3:1B:2:1C:1:3D:1:2The answer is c. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Can you explain the answer of this question below:An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will beA:3:1B:2:1C:1:3D:1:2The answer is c. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will beA:3:1B:2:1C:1:3D:1:2The answer is c..
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