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Q106EasyDC Machines

How does induced emf in DC motor react to supply voltage?

Answer & step-by-step solution
Correct answer: C. It will oppose the supply voltage
Quick explanation

The induced armature emf in a running DC motor is the back emf. By Lenz's law it opposes the applied supply voltage, limiting armature current as the motor gains speed.

V = Eb + Ia Ra Eb ∝ ΦN At start: N = 0 ⇒ Eb = 0

Concept & Reasoning

When the armature of a DC motor rotates in the magnetic field, an emf is induced in its conductors. The direction of that induced emf is governed by Lenz's law: it opposes the cause producing it. Since the supply causes the armature to rotate, the induced emf acts opposite to the supply and is therefore called back emf. The armature circuit is commonly written V = Eb + IaRa (neglecting brush drop). At starting Eb = 0, which explains the high starting current; as speed rises, Eb rises and current falls.

How to Solve It in the Exam

Motor induced emf = back emf = opposes supply.

Important Exam Point

Use the armature-voltage equation to connect back emf with starting-current behavior.

Quick Trick

Motor induced emf = back emf = opposes supply.

Common Mistake

Do not confuse motor back emf with generator emf polarity; both follow electromagnetic induction but circuit roles differ.

Solution diagram – How does induced emf in DC motor react to supply voltage?
Exam tipUse the armature-voltage equation to connect back emf with starting-current behavior.
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