Hey guys
Can someone please explain to me how the answer to this question is A? I thought that by using np/ns = Is/Ip, Is = (np x Ip)/ns, thus by decreasing the number of turns in the secondary coil, the current in the secondary coil would increase and so too would the deflection underwent by the pointer in the galvanometer.
I saw this in the 2015 Paper;
it's a trick, and I reckon a HEAP of people would have put B as an answer.
Your reasoning is correct, but with a minor oversight. Let me first explain why A is correct.
We have a voltage source attached to the primary coil. The voltage, current and resistance of this coil are related by Ohms Law:
But the resistance in the primary coil
is dependent on the number of turns in the coil. So, we could say \(V=kIn\), where \(k\) is just some constant (perhaps, the resistivity of the wire). So if we decrease the amount of turns in the primary coil, without decreasing the voltage, that MUST mean that the current in the primary coil increases as a result.
By the law of conservation of energy, the power into a transformer is equal to the power out of a transformer (ignoring losses). We've maintained the same voltage at the input, but increased current, so the
input power has increased. At the other end, our current increases to compensate for this. For totality, the effects at the output (in the secondary coil) are:
- The voltage increases due to the changed turn relationship between the coils, \(V_s=\frac{V_pN_s}{N_p}\)
- The
current increases due to the increased amount of power going INTO the transformer
So the question remains, why is B incorrect? Well this is where we get tricky, because well, I'm not sure. It is, in general correct, at least to my understanding. My only explanation for why A is chosen would be that the deflection is likely greater. I also notice that the voltage source is DC (not sure if that is intentional), which could mean that the deflection is only brief, not constant, while the switch is flicked. However, that shouldn't change the reasoning in my opinion, all should still work as you'd expect.
I'm yet to find a good reason why A is chosen over B. I know why A is correct, but not why B isn't, ahaha