Question

2. What current flows through a hair dryer plugged into a 110 Volt circuit if it has a resistance of 25 ohm.
3. A 12 Volt car battery pushes charge through the headlight circuit resistance of 10 ohms. How much
current is passing through the circuit?
​

Answer 1

Explanation:

Given :

A hair dryer plugged into a 110 volt circuit and it has a resistance of 25 Ohms

To Find :

Current flows through the hair dryer

Solution :

Potential difference across the circuit , V = 110 V

Resistance of the hair dryer , R = 25 Ω

Current flows through the hair dryer , I = ? A

We know that , " Potential difference across the circuit is directly proportional to the current flowing through it "

➠ V ∝ I

➠ V = IR

➠ 110 = I (25)

$\huge➠ I = 4.4 A \pink{\bigstar}★$

Current flows through the circuit is 4.4 A .

Answer 2

Answer:

4.4 amperes of current will flow through the hair dryer.

1.2 amperes of current will flow through the car battery.

Explanation:

We will use the following formula to solve the given question;

$\mathrm{V=IR}$             (1)

Where,

V=potential difference across the conductor

I=current flowing through the conductor

R=resistance of the conductor

Now let's solve both the questions one by one.

CASE I: To find the current through the hair dryer

From the question we have,

The potential required for a hair dryer to operate(V)=110 volt

The resistance of the hair dryer(R)=25 ohm

Inserting the values of "V" and "R" in equation (1) we get;

$\mathrm{110=I\times 25}$

$\mathrm{I=\frac{110}{25} }$

$\mathrm{I=4.4\ Ampere}$

So, 4.4 amperes of current will flow through the hair dryer.

CASE II: To find the current through the circuit

From the question we have,

The potential across the car battery (V)=12 volt

The resistance of the car battery(R)=25 ohm

Inserting the values of "V" and "R" in equation (1) we get;

$\mathrm{12=I\times 10}$

$\mathrm{I=\frac{12}{10} }$

$\mathrm{I= 1.2\ Amperes}$

So, 1.2 amperes of current will flow through the car battery.

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