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ivolga24 [154]
3 years ago
9

Two concentric circular loops of radii b and 2b, made of the same type of wire, lie in the plane of the page, as shown below. Th

e total resistance of the wire loop of radius b is R. What is the resistance of the wire loop of radius 2b?
a. R2b=R/4
b. R2b=2R
c. R2b=R
d. R2b=R/2
e. R2b=4R
Physics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

a. R2b = R/4

Explanation:

The total resistance of a metallic wire is given by the following formula:

R = ρL/A

where,

R = Resistance of Wire

ρ = Resistivity of the material of wire

L = Length of Wire

A = Area of Wire = πr²

Therefore,

R = ρL/πr²

for the 1st wire,

radius = r = b

Therefore,

R = ρL/πb²   ----------- equation 1

Now, for the second wire,

r = 2b

Therefore,

R2b = ρL/π(2b)²

R2b = ρL/πb²4

using equation 1:

R2b = R/4

therefore, correct option is:

<u>a. R2b = R/4</u>

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