- Name the quantity in electrical circuits which play the same role as inertia in mechanics
F = ma
F = m dv/dt
to generate velocity (v), we need force (F) and mass (m) plays the role of inertia. The greater the mass, more difficult to change its velocity.
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This is analogous to
emf = L dI/dt
Here emf is the cause of current I, and L (self-inductance) plays the role of inertia. Greater the value of L, greater will be the back emf(opposition) against the change of current.
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Further,
Work done on the mass to give it velocity v = Kinetic energy possessed by moving mass = mv2 /2
Similarly work done by the battery to generate current I in the inductor = LI2 /2
clearly self-inductance L is analogous to mass m, current I is analogous to velocity v.
So self-inductance L plays the role of inertia in electric circuits, the same way mass m plays the role of inertia in mechanics.