CBSE Class 12 Physics 2017 Outside Delhi Set 1 Paper

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Question : 17
Total: 26
(a) Write the principle of working of a metre bridge.
(b) In a metre bridge, the balance point is found at a distance l1 with resistances R and S as shown in the figure.

An unknown resistance X is now connected in parallel to the resistance S and the balance point is found at a distance l2. Obtain a formula for X in terms of l1,l2 and S.
Solution:  
(a) Principle of meter bridge
(b) Relation between l1,l2 and S
(a) The principle of working of a meter bridge is same as that of a balanced Wheatstone bridge.

(Alternatively:

When, ig=0, then ‌
P
Q
=‌
R
S

(ii) ‌
R
S
=‌
l1
100−l1

When X is connected in parallel
‌
R
(‌
XS
X+S
)
=‌
l2
100−l2

On solving, we get
X=‌
l1S(100−l2)
100(l2−l1)
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