A water heater has a well insulated vertical cylindrical container of radius a in which water is filled to a height h. A resistor made of an allow is used to heat the water in the tank from a temperature theta_(1) to theta_(2) (gt theta_(1)) in a time interval Deltat. The resistor wire has cross sectional radius b and its alloy material has resistivity rho. Calculate the length of the resistor wire. Density and specific heat capacity of water are d and s respectively. The power source connected to the resistor has emf epsilon.

A water heater has a well insulated vertical cylindrical container of

1.	A water heater has a well insulated vertical cylindrical container of radius a in which water is filled to a height h. A resistor made of an allow is used to heat the water in the tank from a temperature theta_(1) to theta_(2) (gt theta_(1)) in a time interval Deltat. The resistor wire has cross sectional radius b and its alloy material has resistivity rho. Calculate the length of the resistor wire. Density and specific heat capacity of water are d and s respectively. The power source connected to the resistor has emf epsilon.
Answer» Answer :`(EPSILON^(2)b^(2))/(rhohsa^(2))(Deltat)/((theta_(2)-theta_(1)))`

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