JEE MAIN - Physics (2006 - No. 10)
Which of the following units denotes the dimension $${{M{L^2}} \over {{Q^2}}}$$, where $$Q$$ denotes the electric charge?
$$Wb/{m^2}$$
Henry $$(H)$$
$$H/{m^2}$$
Weber $$(Wb)$$
설명
Mutual inductance $$ = {\phi \over I} = {{BA} \over I}$$
[Henry] $$ = {{\left[ {M{T^{ - 1}}{Q^{ - 1}}{L^2}} \right]} \over {\left[ {Q{T^{ - 1}}} \right]}} = M{L^2}{Q^{ - 2}}$$
[Henry] $$ = {{\left[ {M{T^{ - 1}}{Q^{ - 1}}{L^2}} \right]} \over {\left[ {Q{T^{ - 1}}} \right]}} = M{L^2}{Q^{ - 2}}$$