पूरे सिस्टम सर R1 एंड r2 व्हेन कनेक्टेड सेपरेटली टू द सेम पोटेंशियल डिफरेंस बिटवीन द करंट फ्लोइंग थ्रू R16 टाइम इज द करंट फ्लोइंग टू डिटरमाइंड द रेश्यो R1 एंड r2
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Answer:
The potential difference between the points A and B in the circuit shown here is 16V. Which is/are the correct statement(s) out of the following?
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ANSWER
In the figure given
let voltages at A,B,C,D be V
A
,V
B
,V
C
,V
D
.
Let V
A
>V
B
.
given V
A
−V
B
=16V
let current from A to B be
′
i
′
(through r1,r4,r5)
let current from C to D through r2 be i
1
, then current from r3 will be i−i
1
from C to D.
On applying 'Kirchhoff's voltage law' in the closed loop with 9V source :-
9−2(i−i
1
)+1i
1
=0
⇒i
1
=
3
2i−9
.....(1)
On applying 'Kirchhoff's voltage law' from A to B:-
V
A
−4i−9−1i
1
+3−1i−3i−V
B
=0
⇒16−8i−6−i
1
=0 (∵V
A
−V
B
=16)
⇒30−26i+9=0(∵ from equation (1))
⇒i=1.5A
⇒i
1
=−2A
So current through r1,r4,r5 is 1.5A.
current through r2 is 2A.
current through r3 is 0.5A.
solution
Answered By
toppr
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