Question

Three identical point charges of, as shown are placed at the vertices of an isosceles right angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point $M$ of the hypotenuse.

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (A), (C)

$1$
$3$

Let the temperature at $C$ $=\theta$
$T<\theta <\sqrt{2}T$
The rate of heat transfer is given by:
$\dot{Q}=\frac{KA\Delta T}{l}$
Heat flowing into C = heat flowing out of C
$\frac{KA(\sqrt{2}T-\theta )}{l}=\frac{KA(\theta -T)}{\sqrt{2}l}$
Simplifying we get:
$\theta =\frac{3T}{\sqrt{2}+1}$