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Chapter 30: Q. 23 (page 870)

The charger for your electronic devices is a transformer. Suppose a $60 Hz$ outlet voltage of $120 V$ needs to be reduced to a device voltage of $3.0 V$ . The side of the transformer attached to the electronic device has $60 turns$ of wire. How many turns are on the side that plugs into the outlet?

Short Answer

Expert verified

Turns on the side that plugs into the outlet is $2400 turns$ .

Step by step solution

01

Formula for number of turns

The secondary coil is the side that is connected to the electronic gadget.

The primary coil is the one that is connected to the plug.

The primary coil must contain more coils than the secondary coil to scale down the voltage.

The number of turns is precisely proportional to the induced emf, according to Faraday's law.

$\frac{V_{2}}{V_{1}} = \frac{N_{2}}{N_{1}}$

Where $V_{1}$ andlocalid="1648828624813" $N_{1}$ are the primary coil's emf and the number of turns.

While $V_{2}$ and localid="1648828631790" $N_{2}$ are the secondary coil's emf and the number of turns.

$N_{1} = \frac{V_{1}}{V_{2}} N_{2}$

02

Calculation of number of turns

As it stands,

$V_{1} = 120 V$

$V_{2} = 3 V$

$N_{2} = 60$

Number of turns,

$N_{1} = \frac{V_{1}}{V_{2}} N_{2}$

$= (\frac{120 V}{3 V}) 脳 60 turns$

$= 2400 turns$

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Most popular questions from this chapter

A solenoid is wound as shown in FIGURE EX30.10.

a. Is there an induced current as magnet 1 is moved away from the solenoid? If so, what is the current direction through resistor R ?

b. Is there an induced current as magnet 2 is moved away from the solenoid? If so, what is the current direction through resistor R?

86. III High-frequency signals are often transmitted along a coaxial CALC cable, such as the one shown in FIGURE CP30.86. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius while the outer conductor of radius is grounded. A soft, flexible insulating material fills the space between them, and an insulating plastic coating goes around the outside.

a. Find an expression for the inductance per meter of a coaxial cable. To do so, consider the flux through a rectangle of length that spans the gap between the inner and outer conductors.

b. Evaluate the inductance per meter of a cable having $r_{1} = 0.50 mm$ and $r_{2} = 3.0 mm$ .

9. Is the magnetic field strength in FIGURE Q30.9 increasing, decreasing, or steady? Explain.

85. III A 2.0-cm-diameter solenoid is wrapped with 1000 turns per CALC meter. 0.50 cm from the axis, the strength of an induced electric field is $5.0 脳 10^{鈭� 4} V / m$ . What is the rate $d I / d t$ with which the current through the solenoid is changing?

A $20$ cm $* 20$ cm square loop of wire lies in the $x y$ -plane with its bottom edge on the $x$ -axis. The resistance of the loop is $0.50 鈩�$ . A magnetic field parallel to the $z$ -axis is given by $B = 0.80 y 2 t$ , where $B$ is in tesla, $y$ in meters, and $t$ in seconds. What is the size of the induced current in the loop at $t = 0.50 s$ ?

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