Current Electricity Charging Discharging Of Capacitors Question 733
Question: A wire of radius r and another wire of radius 2r, both of same material and length are connected in series to each other. The combination is connected across a battery. The ratio of the heats produced in the two wires will be
Options:
A) 4.00
B) 2.00
C) 0.50
D) 0.25
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ H=I^{2}Rt.\text{ Here }R _{1}=\rho \frac{1}{\pi r^{2}}\text{ and } $
$ R _{2}=\rho \frac{1}{\pi {{( 2r )}^{2}}}\text{ That is, }R _{1}=4R _{2}. $
$ \text{Hence, }\frac{H _{1}}{H _{2}}=4 $
BETA
