The primary coil of a step-up transformer is connected across theterminals of a

Question

The primary coil of a step-up transformer is connected across theterminals of a standard wall socket, and resistor I with aresistance R1 is connected across a secondary coil. Thecurrent in the resistor is then measured. Next, resistor 2 with areistance R2 is connected directly across the terminalsof the wall sockets (without the transformer). The current in thisresistor is also measured and found to be the same as the currentin resistor 1. How does the resistance R2 compare to thereistance R1? a) The resistance R2 is lessthan the resistance R1. b) The resistance R2is greater than the resistance R1. c) The resistanceR2 is the same as the resistance R1

Explanation / Answer

The turns ratio is the factor that determines voltage andcurrent. In order to have the same current across the resistorin the primary as the resistor in the secondary, then: -- N(p) = Primary turns N(s) = Secondary turns R(2) = Primary resistor R(1) = Secondary resistor -- R(2)/R(1) = N(p)/N(s) R(2) = R(1)*(N(p)/N(s)) -- If arbitrary values are plugged in, you will see that thisstep up transformer will require 2x the resistance required in thesecondary, R(1), to obtain the same current. Thus R(2) willbe 1/2 the value of R(1). This is due to the stepped upvoltage in the secondary. -- -- Hope this helps.

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