If a step-up transformer has a primary coil with 15 turns, how many turns would be required in the secondary coil in order to increase the voltage from 80 volts to 160 volts?
A. 8 turns
B. 30 turns
C. 80 turns
D. 160 turns
twice as many turns to double voltage
30 turns
To determine the number of turns required in the secondary coil of a step-up transformer, we can use the formula:
Ns/Np = Vs/Vp
Where Ns is the number of turns in the secondary coil, Np is the number of turns in the primary coil, Vs is the voltage in the secondary coil, and Vp is the voltage in the primary coil.
In this case, we have:
Np = 15 turns
Vp = 80 volts
Vs = 160 volts
Plugging these values into the formula, we get:
Ns/15 = 160/80
Simplifying, we have:
Ns/15 = 2
To solve for Ns, we multiply both sides of the equation by 15:
Ns = 2 * 15
Ns = 30 turns
Therefore, the correct answer is B. 30 turns.
To determine the number of turns required in the secondary coil of a step-up transformer, we can use the voltage ratio equation:
(Voltage ratio) = (Number of turns in secondary coil) / (Number of turns in primary coil)
In this case, the voltage ratio is given by:
(Voltage ratio) = (160 volts) / (80 volts) = 2
Let's substitute this value into the equation and solve for the number of turns in the secondary coil:
2 = (Number of turns in secondary coil) / 15 turns
To isolate the number of turns in the secondary coil, we can cross-multiply and solve for it:
2 * 15 turns = Number of turns in secondary coil
Number of turns in secondary coil = 30 turns
Therefore, the correct answer is B. 30 turns