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In a Wheatstone's bridge, all the four arms have equal resistance R. If resistance of the galvanometer arm is also R, then equivalent resistance of the combination is
- a)R
- b)2R
- c)R/2
- d)R/4
Correct answer is option 'A'. Can you explain this answer?
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In a Wheatstone's bridge, all the four arms have equal resistance R. I...
The given arrangement is a parallel combination of 2R and 2R. This gives an equivalent resistance of R.
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In a Wheatstone's bridge, all the four arms have equal resistance R. I...
Analysis of the Wheatstone's Bridge:
1. The Wheatstone's bridge consists of four arms with equal resistances R each.
2. The galvanometer arm also has a resistance of R.
Equivalent Resistance Calculation:
1. Let's consider the Wheatstone's bridge configuration:
- Arm 1 and Arm 2 form one side of the bridge with resistances R each.
- Arm 3 and Arm 4 form the other side of the bridge with resistances R each.
- The galvanometer arm is also R.
2. When the bridge is balanced, the potential difference across the galvanometer arm is zero.
3. At balance, the ratio of resistances on one side of the bridge is equal to the ratio of resistances on the other side:
- R1/R2 = R3/R4
- R/R = R/R
- 1 = 1
4. Since the galvanometer arm is also R, the equivalent resistance of the combination is:
- R + R = 2R
Therefore, the correct answer is option 'A', which is R.
1. The Wheatstone's bridge consists of four arms with equal resistances R each.
2. The galvanometer arm also has a resistance of R.
Equivalent Resistance Calculation:
1. Let's consider the Wheatstone's bridge configuration:
- Arm 1 and Arm 2 form one side of the bridge with resistances R each.
- Arm 3 and Arm 4 form the other side of the bridge with resistances R each.
- The galvanometer arm is also R.
2. When the bridge is balanced, the potential difference across the galvanometer arm is zero.
3. At balance, the ratio of resistances on one side of the bridge is equal to the ratio of resistances on the other side:
- R1/R2 = R3/R4
- R/R = R/R
- 1 = 1
4. Since the galvanometer arm is also R, the equivalent resistance of the combination is:
- R + R = 2R
Therefore, the correct answer is option 'A', which is R.
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In a Wheatstone's bridge, all the four arms have equal resistance R. I...
In a balanced wheatstone's bridge,we neglect the branch of galvanometre therefore the top two resistances are in series and similarly the down two resistances are also in series. Now, these two effective resistances i.e. 2R (upper) and 2R (lower) are in parallel implies total effective resistance is R.
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In a Wheatstone's bridge, all the four arms have equal resistance R. If resistance of the galvanometer arm is also R, then equivalent resistance of the combination isa)Rb)2Rc)R/2d)R/4Correct answer is option 'A'. Can you explain this answer?
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