A uniform wire of resistance 9 , Omega is ben | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The total resistance of the wire is $R = 9 \, \Omega$. When bent into a circle,the resistance is proportional to the length of the arc.The arc $AB

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) The total resistance of the wire is $R = 9 \, \Omega$. When bent into a circle,the resistance is proportional to the length of the arc.The arc $AB$ subtends an angle of $120^{\circ}$ at the center.The resistance of this arc $AB$ is $R_1 = (120^{\circ} / 360^{\circ}) 	imes 9 \, \Omega = (1/3) 	imes 9 \, \Omega = 3 \, \Omega$.The remaining part of the wire has a resistance of $R_2 = 9 \, \Omega - 3 \, \Omega = 6 \, \Omega$.These two parts,$R_1$ and $R_2$,are connected in parallel between points $A$ and $B$.The equivalent resistance $R_{eq}$ is given by:$1/R_{eq} = 1/R_1 + 1/R_2 = 1/3 + 1/6 = (2+1)/6 = 3/6 = 1/2$.Therefore,$R_{eq} = 2 \, \Omega$.

$A$ uniform wire of resistance $9 \, \Omega$ is bent in the form of a circle. The effective resistance across the points $A$ and $B$ is ............... $\Omega$. The angle subtended by the arc $AB$ at the center is $120^{\circ}$.

Similar Questions

The resistive network shown below is connected to a $D.C.$ source of $16 \, V$. The power consumed by the network is $4 \, W$. The value of $R$ is ............. $\Omega$.

Three unequal resistors in parallel are equivalent to a resistance $1 \ \Omega$. If two of them are in the ratio $1:2$ and if no resistance value is fractional,then the largest of the three resistances in ohms is

Write the differences between series and parallel connections of resistors.

Two bulbs of $100\, W$ and $200\, W$ working at $220\, V$ are joined in series with a $220\, V$ supply. The total power consumed will be approximately ........... $W$.

The effective resistance of the network between points $A$ and $B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module