Two conducting rods A and B of same length an | vedclass

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

Question

(a) Heat current $H = \frac{{\Delta 	heta }}{R}$ ==> $\frac{{{H_P}}}{{{H_S}}} = \frac{{{R_S}}}{{{R_P}}}$

In first case : ${R_S} = {R_1} + {R_2}

Vedclass · Accepted Answer

$\frac{{16}}{3}$

Vedclass · Answer

(a) Heat current $H = \frac{{\Delta 	heta }}{R}$ ==> $\frac{{{H_P}}}{{{H_S}}} = \frac{{{R_S}}}{{{R_P}}}$

In first case : ${R_S} = {R_1} + {R_2} = \frac{l}{{(3K)A}} + \frac{l}{{KA}} = \frac{4}{3}\frac{l}{{KA}}$

In second case :${R_P} = \frac{{{R_1}{R_2}}}{{{R_1} + {R_2}}} = \frac{{\frac{l}{{(3K)A}} 	imes \frac{l}{{KA}}}}{{\left( {\frac{l}{{(3K)A}} + \frac{l}{{KA}}} ight)}} = \frac{l}{{4KA}}$

$	herefore \frac{{{H_P}}}{{{H_S}}} = \frac{{\frac{{4l}}{{3KA}}}}{{\frac{l}{{4KA}}}} = \frac{{16}}{3}$

Similar Questions

A thin paper cup filled with water does not catch fire when placed over a flame. This is because

Mud houses are cooler in summer and warmer in winter because

Find effective thermal resistance between $A$ & $B$ of cube made up of $12$ rods of same dimensions and shown given thermal conductivity. [ $l =$ length of rod, $a =$ cross section area of rod]