The Physics of Everyday Phenomena
The Physics of Everyday Phenomena
8th Edition
ISBN: 9780073513904
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
Question
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Chapter 13, Problem 5SP

(a)

To determine

Current drawn by each of the appliances.

(a)

Expert Solution
Check Mark

Answer to Problem 5SP

Current drawn by toaster is 5.22A , by Iron box is 10.44A and that by processor is 4.34A

Explanation of Solution

Given info: Power of toaster is 600W , iron box is 1200W , processor is 500W , voltage supplied is 115V

Write the equation to find the power of toaster.

Pt=V2R

Here,

Pt is the power of toaster

V is the voltage

R is the resistance

Substitute 600W for Pt and 115V for V in equation to solve for R

R=(115V)2600W=22.04Ω

Write the equation to find the current.

I=VR

Here,

I is the current

V is the voltage

R is the resistance

Substitute 115V for V and 22.04Ω for R to get I

I=115V22.04Ω=5.22A

Write the equation to find the power of iron box.

Pi=V2R

Here,

Pi is the power of iron box

V is the voltage

R is the resistance

Substitute 1200W for Pi and 115V for V in equation to solve for R

R=(115V)21200W=11.02Ω

Write the equation to find the current.

I=VR

Here,

I is the current

V is the voltage

R is the resistance

Substitute 115V for V and 11.02Ω for R to get I

I=115V11.02Ω=10.43A

Write the equation to find the power of processor.

Pp=V2R

Here,

Pp is the power of processor

V is the voltage

R is the resistance

Substitute 500W for Pp and 115V for V in equation to solve for R

R=(115V)2500W=26.45Ω

Write the equation to find the current.

I=VR

Here,

I is the current

V is the voltage

R is the resistance

Substitute 115V for V and 26.45Ω for R to get I

I=115V26.45Ω=4.34A

Conclusion:

Therefore, current drawn by toaster is 5.22A , by Iron box is 10.44A and that by processor is 4.34A

(b)

To determine

Is there any problem if all these appliances are switched on?

(b)

Expert Solution
Check Mark

Answer to Problem 5SP

Yes, there is problem if they are working together.

Explanation of Solution

If the three appliances are made working together then the total current delivered will be the sum of the current consumed by each of the appliance.

Write the equation to find the total current.

Itot=It+Ii+Ip

Here,

Itot is the total current

It is the current consumed by toaster

Ii is the current consumed by iron box

Ip is the current consumed by processor

Substitute 5.22A for It , 10.43A for Ii and 4.34A for Ip to get Itot

Itot=5.44A+10.02A+4.34A=19.8A

The maximum current allowed in the house is 15A. If all these appliances are made working together then the circuit will get blown.

Conclusion:

Therefore, the circuit will get blown.

(c)

To determine

The resistance of the heating element.

(c)

Expert Solution
Check Mark

Answer to Problem 5SP

The resistance of heating element is 11Ω

Explanation of Solution

Write the equation to find the power of iron box.

Pi=V2R

Here,

Pi is the power of iron box

V is the voltage

R is the resistance

Substitute 1200W for Pi and 115V for V in equation to solve for R

R=(115V)21200W=11Ω

Conclusion:

Therefore, the resistance of heating element is 11Ω

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The Physics of Everyday Phenomena

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