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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read?
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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of...
**Equivalent Resistance between A and C:**
To find the equivalent resistance between points A and C, we can use the concept of resistors in parallel and series.
1. **Resistors in parallel:** The wires connected between points B and D are in parallel with the wire between points A and C. Since the wires are exactly similar, they have the same resistance of 0.1 Ω/cm.
2. **Resistors in series:** The wire between points B and D is in series with the wire between points A and C. The total length of the wire for both sections is 20 cm (10 cm for each section).
3. **Finding the equivalent resistance:** To find the equivalent resistance, we need to calculate the resistance of each section separately and then combine them.
a. Resistance of the wire between B and D: Since the total length of the wire is 10 cm, the resistance is given by R = ρ * (L/A) = 0.1 Ω/cm * (10 cm / 1 cm^2) = 1 Ω.
b. Resistance of the wire between A and C: Again, the total length of the wire is 10 cm, so the resistance is also 1 Ω.
c. Combining the resistances: The resistors are in series, so we add them up. The equivalent resistance is R_eq = R1 + R2 = 1 Ω + 1 Ω = 2 Ω.
**Current Drawn from the Battery:**
To find the current drawn from the battery, we can use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across the conductor divided by its resistance (R).
1. **Applying Ohm's Law:** We have a 2V battery connected between points A and C, and the equivalent resistance between these points is 2 Ω. Therefore, the current drawn from the battery is given by I = V / R = 2V / 2 Ω = 1A.
**Ammeter Reading between B and D:**
The ammeter connected between points B and D will measure the current flowing through that section of the wire.
1. **Calculating the current:** Since the wire between B and D has a resistance of 1 Ω, and there is a 2V potential difference across it (due to the battery), we can again use Ohm's Law to calculate the current. I = V / R = 2V / 1 Ω = 2A.
2. **Ammeter reading:** Therefore, the ammeter connected between B and D will read a current of 2A.
In summary, the equivalent resistance between points A and C is 2 Ω, the current drawn from the battery connected between A and C is 1A, and the ammeter connected between B and D will read a current of 2A.
To find the equivalent resistance between points A and C, we can use the concept of resistors in parallel and series.
1. **Resistors in parallel:** The wires connected between points B and D are in parallel with the wire between points A and C. Since the wires are exactly similar, they have the same resistance of 0.1 Ω/cm.
2. **Resistors in series:** The wire between points B and D is in series with the wire between points A and C. The total length of the wire for both sections is 20 cm (10 cm for each section).
3. **Finding the equivalent resistance:** To find the equivalent resistance, we need to calculate the resistance of each section separately and then combine them.
a. Resistance of the wire between B and D: Since the total length of the wire is 10 cm, the resistance is given by R = ρ * (L/A) = 0.1 Ω/cm * (10 cm / 1 cm^2) = 1 Ω.
b. Resistance of the wire between A and C: Again, the total length of the wire is 10 cm, so the resistance is also 1 Ω.
c. Combining the resistances: The resistors are in series, so we add them up. The equivalent resistance is R_eq = R1 + R2 = 1 Ω + 1 Ω = 2 Ω.
**Current Drawn from the Battery:**
To find the current drawn from the battery, we can use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across the conductor divided by its resistance (R).
1. **Applying Ohm's Law:** We have a 2V battery connected between points A and C, and the equivalent resistance between these points is 2 Ω. Therefore, the current drawn from the battery is given by I = V / R = 2V / 2 Ω = 1A.
**Ammeter Reading between B and D:**
The ammeter connected between points B and D will measure the current flowing through that section of the wire.
1. **Calculating the current:** Since the wire between B and D has a resistance of 1 Ω, and there is a 2V potential difference across it (due to the battery), we can again use Ohm's Law to calculate the current. I = V / R = 2V / 1 Ω = 2A.
2. **Ammeter reading:** Therefore, the ammeter connected between B and D will read a current of 2A.
In summary, the equivalent resistance between points A and C is 2 Ω, the current drawn from the battery connected between A and C is 1A, and the ammeter connected between B and D will read a current of 2A.
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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of...
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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read?
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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read?.
A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read?.
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A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read?, a detailed solution for A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? has been provided alongside types of A wire whose resistance 0.1/cm is bent in the form of a square ABCD of side 10 cm. An exactly similar wire is connect across the points B and D. What will be the equivalent resistance between the other two corners A and C of the square?If a 2V battery be connected between A and C,then what will be the current drawn from the battery? If an ammeter be connected B and D,what will it read? theory, EduRev gives you an
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