Question

Larry uses a transformer to step down an incoming voltage. The transformer has ten loops in the primary coil and six in the secondary. If the incoming voltage is 120 volts, what is the outgoing voltage?

A. 720
B. 72
C. 200
D. 20

Answer 1

The outgoing voltage of Larry's step-down transformer is 72 volts, calculated using the transformer equation relating primary and secondary voltages to the number of their respective coil turns.

Step-by-step explanation:

Larry is using a transformer to step down the incoming voltage. The transformer has a primary coil with ten loops and a secondary coil with six loops. Given that the incoming voltage is 120 volts, we can use the transformer equation to determine the outgoing voltage:

The transformer equation is
Vp/Vs = Np/Ns, where Vp is the primary voltage, Vs is the secondary voltage, Np is the number of turns in the primary, and Ns is the number of turns in the secondary.

By rearranging the equation to solve for Vs, we get: Vs = Vp * (Ns/Np).

Plugging in the known values gives: Vs = 120V * (6/10) = 120V * 0.6 = 72V.

Therefore, the outgoing voltage is 72 volts, which corresponds to answer choice B.

Answer 2

The outgoing voltage : 72 V

Further explanation

Given

Vp=primary=120 V

Np=10

Ns=6

Required

the secondary voltage

Solution

`\tt (V_p)/(V_s)=(N_p)/(N_s)`

Input the value :

`\tt (120)/(V_s)=(10)/(6)\\\\V_s=(120* 6)/(10)=72~V`