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Byju's Answer
Standard XII
Mathematics
Direction Cosines
Each side of ...
Question
Each side of given cube has resistance of
1
Ω
, then equivalent resistance of cube between corner A and B in
Ω
is
(Answer upto two decimal places)
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Solution
After naming currents in branches, we get
⇒
4
i
3
=
i
2
−
i
3
⇒
5
i
3
=
i
2
Also,
i
2
+
(
i
2
−
i
3
)
+
i
2
=
i
1
3
i
2
−
i
2
5
=
i
1
⇒
14
5
i
2
=
i
1
ε
=
(
2
i
2
+
i
1
)
R
e
q
.
.
.
.
.
.
.
(
i
)
ε
=
i
1
×
1............
(
i
i
)
By,
(
i
)
and
(
i
i
)
:
i
1
=
(
2
×
5
14
i
1
+
i
1
)
R
e
q
⇒
R
e
q
=
14
24
Ω
=
0.583
Ω
Suggest Corrections
0
Similar questions
Q.
Sides of a quadrilateral circumscribed by a circle have resistance per unit length of
1
Ω
/
m
.
Side AB is
4
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, side AD is
3
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and AC is
5
m
. AC is diameter of circle. The resistance of circle is zero but its diameter has a resistance per unit length of
1
Ω
/
m
.
Equivalent resistance between point B and D is
(Write upto two digits after the decimal point.)
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B
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.
Q.
Consider an infinite mesh as shown in the figure. Each side of the mesh has resistance R. Consider hexagonal part ABCDEF of infinite mesh and equivalent resistance between any two points of hexagon is measured. Equivalent resistance between A and B is
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. The least value of
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+
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is
.(Here,
α
&
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are whole number)(Answer upto two digits after the decimal point)