Physics, asked by ProudtobeaSikh, 8 months ago

if a wire of resistance R is cut into n equal parts all parts are first connected in series and then in parallel calculate ratio of series and parallel combination of resistors.​

Answers

Answered by ullasramananda2006
1

Answer:

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

​  

 

correct option will be (D)

Explanation:

Answered by lolrobot
2

Answer:n^{2}

Explanation:

nR for series and

\frac{R}{n\\} for parallel

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