# Is the Induced EMF additive to the circuit?

From the following diagram: Assume that +V(S), is a applied voltage from a power supply, and current I is flowing now in the circuit, and I introduced a (negatively)changing magnetic flied covering a small volume of that conductor, and an EMF is induced in such a polarity above. The circuit as a whole is like so: simulate this circuit – Schematic created using CircuitLab

Where (D) is the diagram above the circuit schematic, is total applied voltage on the load equal to the induced EMF added to the applied voltage +V? $$V_t = V_S + V_E$$

Because the induced EMF is now in series with the applied voltage? I guess, my confusion with this is the magnetic field is covering a small area, would the voltage still be additive? Vs. the magnetic field covering a larger area inducing a larger EMF at the same polarity?

• Is this a homework question, or some otherwise synthetic exercise? It doesn't make a lot of sense in any case. BTW you need to specify a reference when talking about voltages. – Dzarda Apr 4 '15 at 22:50
• Why do you say 'current would be I/3'? – Chu Apr 4 '15 at 23:11
• Edited the question. I just want to know what would happen if I placed on of the wires in the parallel circuit part in a changing magnetic field, if we introduce a changing magnetic field to that parallel part of the circuit(3 wires parallel to each other) there is an induced EMF that oppose the power supply, what would happen if only one wire out of those three paralleled ones is in a changing magnetic field that induced a -V or +V depending on the polarity based on the diagram its +V. – Pupil Apr 5 '15 at 6:45
• Sketch the circuit with a battery representing the induced emf. Then you will see the effect this has on the main loop. – Chu Apr 5 '15 at 10:21
• I've done that and posted it above, I find that the first diagram point c would be 25V, and for the second diagram point a would be 15V due to the opposing 5V? – Pupil Apr 5 '15 at 16:44