What is the Resistance between A and B in the given fig. Below?
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This is an example of a balanced wheatstone bridge.
If you don't know what a Wheatstone bridge is?
It is an appratus for calculating some unknown resistance.
Now in this question,
The five resistances of the 10,20,30,10 and 20 ohm are forming a Wheatstone bridge.
Now, this bridge is balanced if, the ratio of the resistances of one arm is equal to the ratio of the arm of the bridge.
i. e. 10/10 = 20/20 = 1
Now, in a balanced wheatstone bridge,
the potentials of the upper and lower points of the central resistance are equal,
which means that the potential difference across the central resiatance is zero and it is short circuit.
So, we can redraw the circuit, after removing the 30 ohm resistance and now,
all the resistances are series ,
i. e. the equivalent resistance across A and B
R = (10 +20 + 10 + 20 +10)ohm
R = 70 ohm
This will be the equivalent resistance between the points A and B.
Hope It Helps you!
If you don't know what a Wheatstone bridge is?
It is an appratus for calculating some unknown resistance.
Now in this question,
The five resistances of the 10,20,30,10 and 20 ohm are forming a Wheatstone bridge.
Now, this bridge is balanced if, the ratio of the resistances of one arm is equal to the ratio of the arm of the bridge.
i. e. 10/10 = 20/20 = 1
Now, in a balanced wheatstone bridge,
the potentials of the upper and lower points of the central resistance are equal,
which means that the potential difference across the central resiatance is zero and it is short circuit.
So, we can redraw the circuit, after removing the 30 ohm resistance and now,
all the resistances are series ,
i. e. the equivalent resistance across A and B
R = (10 +20 + 10 + 20 +10)ohm
R = 70 ohm
This will be the equivalent resistance between the points A and B.
Hope It Helps you!
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