1. The current through a light bulb connected across the terminals of a 120 V outlet is 0.50 A. At what rate does the bulb convert electric energy to light? 2. A 12.0 V battery causes a current of 2.0 A to flow through a lamp. What is the power used by the lamp? 3. What current flows through a 100. W light bulb connected to a 120. V outlet? 4. The current through a motor is 210 A. If a battery keeps a 12.0 V potential difference across the motor, what electric energy is delivered to the motor in 10.0 s?

Respuesta :

Answer:

1. 60 W

2. 24 W

3. 0.83 A

4. 25200 J

Explanation:

1. What we are simply asked to look for is Electrical Power. It is the rate electrical energy is being transferred.

It is given as:

[tex]P = IV[/tex]

where I = current and V = voltage.

Therefore, Power is:

P = 0.50 * 120 = 60 W

2. Power, as given in the formula above is:

P = 2.0 * 12

P = 24.0 W

3. According to the formula of Power, current is given as:

[tex]I[/tex] = [tex]\frac{P}{V}[/tex]

Power is 100 W and voltage is 120 V, therefore, current is:

[tex]I = \frac{100}{120} \\\\\\I = 0.83 A[/tex]

4. Recall that power is the time rate of transfer of electrical energy. Mathematically:

[tex]P = \frac{E}{t}[/tex]

where t = time

This means that Electrical energy is:

[tex]E = Pt[/tex]

Recall that Power is:

[tex]P = IV[/tex]

Therefore, Electrical energy is:

[tex]E = IVt[/tex]

[tex]E = 210 * 12 * 10\\\\\\E = 25200 J[/tex]

1. At "60 W" the bulb convert electric energy to light

2. Power used by lamp will be "24.0 W".

3. The current flow will be "0.83 A".

4. The electric energy delivered to the motor will be "25200 J".

Potential difference and Current

According to the question,

1. Current, I = 0.50 A

  Voltage, V = 120 V

We know,

→ Power (P) = Current (I) × Voltage (V)

                     = 0.50 × 120

                     = 60 W

2. Current, I = 2.0 A

  Voltage, V = 12.0 V

then,

→ P = 2.0 × 12

       = 24.0 W

3. Power, P = 100 W

  Voltage, V = 120 V

We know,

→ Current, I = [tex]\frac{P}{V}[/tex]

                    = [tex]\frac{100}{120}[/tex]

                    = 0.83 A

4. Current, I = 210 A

Potential difference, V = 12.0  

We know,

→ E = Pt

    P = IV

or,

The electrical energy be:

→ E = IVt

       = 210 × 12 × 10

       = 25200 J

Thus the above answer is correct.

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