If a step-up transformer has a primary coil with 40 turns, how many turns would be required in the secondary coil in order to increase the voltage from 80 volts to 160 volts?

twice the voltage means twice the turns

N1 = # of turns on primary.

N2 = # of turns on secondary.

N1/N2 = V1/V2.
40/N2 = 80/160.
N2 = ?

To determine the number of turns required in the secondary coil, we can use the transformer equation:

V₁/V₂ = N₁/N₂

where V₁ and V₂ are the voltages in the primary and secondary coils respectively, and N₁ and N₂ are the respective number of turns.

Given:
V₁ = 80 volts
V₂ = 160 volts
N₁ = 40 turns

Substituting the given values into the equation, we can solve for N₂:

80/160 = 40/N₂

Simplifying the equation further:

1/2 = 40/N₂

To isolate N₂, we can cross multiply:

2N₂ = 40

Dividing both sides of the equation by 2:

N₂ = 40/2
N₂ = 20

Therefore, the secondary coil would require 20 turns in order to increase the voltage from 80 volts to 160 volts.

To determine the number of turns required in the secondary coil of a step-up transformer, we need to use the turns ratio formula. The turns ratio is defined as the ratio of the number of turns in the secondary coil to the number of turns in the primary coil.

The turns ratio formula is as follows:
Turns ratio = (Number of turns in the secondary coil) / (Number of turns in the primary coil)

In this case, we want to increase the voltage from 80 volts to 160 volts. Since the voltage is directly proportional to the turns ratio, we can write the following equation:

Turns ratio = (Voltage in the secondary coil) / (Voltage in the primary coil)

Given that the voltage in the primary coil is 80 volts and the voltage in the secondary coil is 160 volts, we can substitute these values into the equation:

Turns ratio = 160 volts / 80 volts = 2

Now, we can use the turns ratio and the number of turns in the primary coil to calculate the number of turns in the secondary coil:

Turns ratio = (Number of turns in the secondary coil) / 40 turns

Substituting the value of the turns ratio (2):

2 = (Number of turns in the secondary coil) / 40

To solve for the number of turns in the secondary coil, we can cross multiply:

2 * 40 = Number of turns in the secondary coil

80 = Number of turns in the secondary coil

Therefore, the number of turns required in the secondary coil of the step-up transformer to increase the voltage from 80 volts to 160 volts is 80 turns.