1.
A wire of resistance 500 ohm is divided
into five equal parts. Calculate the resistance
of each part.
Answers
Answer:-
resistance of wire =500 ohm
wire is divided into 5 equal parts
resistance of each part = resistance of wire
-----------------------------
no .of parts
= 500
---------- = 100 ohms
5
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Answer:
i will generalise it for u , so in future u can use this generalisation for questions similar to this..
As we know R∝l(length of wire)
and we are cutting the wire into n equal parts, so each new formed wire's resistor
⇒R
1
=R
2
=R
3
=R
4
=R
5
=...R
n
=
n
R
as the diagram shows, we are connecting them in parallel series then equivalent resistance of combination is given by R
eq
⇒
R
eq
1
=
R
1
1
+
R
2
1
+
R
3
1
+
R
4
1
+...+
R
n
1
⇒
R
eq
1
=
R
n
+
R
n
+
R
n
+...+
R
n
(n times)
⇒
R
eq
1
=(
R
n
)×n
⇒R
eq
=
n
2
R