JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors Question Bank Heating Effect of Current

  • question_answer 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]

    A)            \[{{4}^{1/3}}mm\]             

    B)            \[{{3}^{1/4}}mm\]

    C)            \[{{2}^{1/2}}mm\]             

    D)            \[{{3}^{1/2}}mm\]

    Correct Answer: A

    Solution :

                       \[i\propto {{r}^{3/2}}\Rightarrow \] \[\frac{{{r}_{2}}}{{{r}_{1}}}={{\left( \frac{{{i}_{2}}}{{{i}_{1}}} \right)}^{3/2}}={{\left( \frac{3}{1.5} \right)}^{2/3}}={{(4)}^{1/3}}\] \[\Rightarrow {{r}_{2}}={{(4)}^{1/3}}\times {{r}_{1}}={{4}^{1/3}}\] (Q r1 = 1 mm)

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