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Kirchhoff's Junction Law

An unknown re...

Question

An unknown resistance X is to be determined using resistances $R_{1}, R_{2}$ or $R_{3}$ . Their corresponding null points are A, B and C. Find which of the given will give the most accurate reading and why?

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Solution

from the above three values $R_{2}$ gives most accurate value

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Similar questions

Q. An unknown resistance

X

is to determined using resistances

R_{1}, R_{2} or R_{3}

. Their corresponding null points are

A, B

C

. Which of the above will give the most accurate reading ?

(

OD

1 m

. Consider jockey to move gradually on rheostat for changing values)

R_{1}, R_{2}, R_{3}

are different values of R.

A, B, C

are the null points obtained corresponding to

R_{1}, R_{2}

R_{3}

respectively. For which resistor, the value of X will be the most accurate and why?

Q. Three resistors

R_{1}, R_{2}

R_{3}

are connected as shown below.
The resistance of

R_{3}

1 Ω

and it is known that the value of

R_{3}

is smaller than the values of

R_{1}

R_{2}

. The resistances of

R_{1}

R_{2}

are unknown.
Select the best statement describing the equivalent resistance of this combination:

Q. Prove that :

a (r r_{1} + r_{2} r_{3}) = b (r r_{2} + r_{3} r_{1}) = c (r r_{3} + r_{1} r_{2})

r

is inradius and

r_{1}, r_{2}, r_{3}

are exradius of triangle

A B C

a, b, c

are the corresponding sides.

Q. In fig. the equivalent resistance of the following combination of resistors

r_{1}, r_{2}, r_{3}

r_{4}

r_{1} = r_{2} = r_{3} = r_{4} = 2.0 Ω

, between the points A and B is

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