MathDB

An electric circuit has a battery of EMF

E

and it is connected to a resistor system as shown in the image below.
The resistor system alone is put in an adiabatic box (with circuit still connected) filled with ideal gas and containing a thermally conducting plate (plate shewn below) with coefficient of areal thermal expansion

\beta

and heat capacity

c

R_2,R_5,R_3

are fixed and

R_1,R_4

are variable. Assume temperature change doesn't alter any of the macroscopically noticeable attributes of the wire and resistors.

[*]Find the condition on the resistors (all of them non-zero) for which the rate thermal expansion attains maximum.[/*] [*] Find the equivalent resistance in such a condition described above.[/*] [*] Draw how the plate will look like after a time

t

and describe its size qualitatively.(Just the shape matters in drawing).[/*]

Problem Statement