Current Electricity Charging Discharging Of Capacitors Question 539
Question: A fuse wire with radius 1 mm blows at 1.5 amp. The radius of the fuse wire of the same material to blow at 3A will be
[KCET 2003]
Options:
A) $ {{4}^{1/3}}mm $
B) $ {{3}^{1/4}}mm $
C) $ {{2}^{1/2}}mm $
D) $ {{3}^{1/2}}mm $
Show Answer
Answer:
Correct Answer: A
Solution:
$ i\propto {{r}^{3/2}}\Rightarrow $
$ \frac{r _{2}}{r _{1}}={{( \frac{i _{2}}{i _{1}} )}^{3/2}}={{( \frac{3}{1.5} )}^{2/3}}={{(4)}^{1/3}} $
$ \Rightarrow r _{2}={{(4)}^{1/3}}\times r _{1}={{4}^{1/3}} $ (Q r1 = 1 mm)
BETA
