JEE Advance - Physics (1998 - No. 2)
The SI unit of inductance, the henry can be written as
weber/ampere
volt-sec/amp
Joule/(ampere)2
ohm-second
Explanation
Induction $$L = {\phi \over i} = $$ weber/Ampere
Also, $$e = - L\left( {{{di} \over {dt}}} \right) \Rightarrow L = {{ - e} \over {(di/dt)}} = {{volt - {\mathop{\rm second}\nolimits} } \over {Ampere}}$$
Also, $$U = {1 \over 2}L{i^2} \Rightarrow L = {{2U} \over {{i^2}}} = {{Joule} \over {{{(Ampere)}^2}}}$$
and $$U = {1 \over 2}L{i^2} = {i^2}RT \Rightarrow L = RT = $$ Ohm-second
Answer (A), (B), (C), (D)
Also, $$e = - L\left( {{{di} \over {dt}}} \right) \Rightarrow L = {{ - e} \over {(di/dt)}} = {{volt - {\mathop{\rm second}\nolimits} } \over {Ampere}}$$
Also, $$U = {1 \over 2}L{i^2} \Rightarrow L = {{2U} \over {{i^2}}} = {{Joule} \over {{{(Ampere)}^2}}}$$
and $$U = {1 \over 2}L{i^2} = {i^2}RT \Rightarrow L = RT = $$ Ohm-second
Answer (A), (B), (C), (D)
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