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High School Physics : High School Physics

Study concepts, example questions & explanations for High School Physics

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6 Diagnostic Tests 233 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #43 : Electricity And Magnetism

Three capacitors are in parallel. They have capacitance values of , , and . What is their total capacitance?

Possible Answers:

1.04F

0.958F

0.077F

13F

1.09F

Correct answer:

13F

Explanation:

For capacitors in parallel the formula for total capacitance is:

$C_{eq}=C_1+C_2+C_3...$

Note that this formula is similar to the formula for total resistance in series. Using the values for each individual capacitor, we can solve for the total capacitance.

$C_{eq}=3F+2F+8F$

$C_{eq}=13F$

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Example Question #51 : Electricity And Magnetism

Three capacitors, each with a capacity of are arranged in parallel. What is the total capacitance of this circuit?

Possible Answers:

0.75F

0.08F

12F

64F

1.33F

Correct answer:

12F

Explanation:

The formula for capacitors in parallel is:

$C_{eq}=C_1+C_2+C_3...$

Our three capacitors all have equal capacitance values. We can simply add them together to find the total capacitance.

$C_{eq}=4F+4F+4F$

$C_{eq}=12F$

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Example Question #731 : High School Physics

What is the total capacitance of a series circuit with capacitors of , 1.1F , and 7.5F ?

Possible Answers:

13.6F

1.2F

0.07F

4.5F

0.8F

Correct answer:

0.8F

Explanation:

The total capacitance of a series circuit is $\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}...$

Plug in our given values.

$\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}...$

$\frac{1}{C_{eq}}=\frac{1}{5F}+\frac{1}{1.1F}+\frac{1}{7.5F}$

$\frac{1}{C_{eq}}=1.24F$

$C_{eq}=0.8F$

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Example Question #1 : Calculating Total Capacitance

Calculate the total capacitance of a circuit with the following three capacitors in parallel.

$C_1=10F,\ C_2=15F,\ C_3=5F$

Possible Answers:

2.73F

30F

15F

3.21F

Correct answer:

30F

Explanation:

To calculate the total capacitance for capacitors in parallel, simply sum the value of each individual capacitor.

$C_{eq}=C_1+C_2+C_3$

$C_{eq}=10F+15F+5F=30F$

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Example Question #6 : Calculating Total Capacitance

Calculate the total capacitance of a circuit with the following three capacitors in series.

$C_1=10F,\ C_2=15F,\ C_3=5F$

Possible Answers:

2.73F

3.12F

25F

30F

0.367F

Correct answer:

2.73F

Explanation:

To find the total capacitance for capacitors in series, we must sum the inverse of each individual capacitance and take the reciprocal of the result.

$\frac{1}{C_{eq}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\frac{1}{C_{3}}$

$\frac{1}{C_{eq}}=\frac{1}{10F}+\frac{1}{15F}+\frac{1}{5F}$

$\frac{1}{C_{eq}}=\frac{11}{30}=0.367$

Remember, you must still take the final reciprocal!

$C_{eq}=\frac{30}{11}=2.73F$

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Example Question #51 : Electricity And Magnetism

Three capacitors in parallel have a capacity of , 12F , and , respectively. What is the total capacitance?

Possible Answers:

22F

4.23F

0.045F

1.41F

7.33F

Correct answer:

22F

Explanation:

The formula for capacitors in parallel is:

$C_{eq}=C_1+C_2+C_3...$

Plug in our given values:

$C_{eq}=2F+12F+8F$

$C_{eq}=22F$

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Example Question #52 : Electricity And Magnetism

Three capacitors in series have a capacity of , 12F , and , respectively. What is the total capacitance?

Possible Answers:

7.33F

0.71F

22F

0.45F

1.41F

Correct answer:

1.41F

Explanation:

The formula for capacitors in series is:

$\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}...$

Plug in our given values:

$\frac{1}{C_{eq}}=\frac{1}{2F}+\frac{1}{12F}+\frac{1}{8F}$

$\frac{1}{C_{eq}}=0.70833\frac{1}{F}$

$C_{eq}=1.41F$

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Example Question #732 : High School Physics

Three capacitors of equal capacitance are in a series circuit. If the total capacitance is 12F , what is the capacitance of each individual capacitor?

Possible Answers:

$\frac{1}{36}F$

36F

$\frac{1}{4}F$

Correct answer:

36F

Explanation:

The formula for capacitors in a series is:

$\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}...$

Since we have three equal capacitors, we can say:

$\frac{1}{C_{eq}}=\frac{1}{C}+\frac{1}{C}+\frac{1}{C}=3*\frac{1}{C}$

Using the value for total capacitance, we can find the value for the individual capacitance.

$\frac{1}{C_{eq}}=\frac{3}{C}$

$\frac{1}{12F}=\frac{3}{C}$

36F=C

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Example Question #54 : Electricity And Magnetism

Three capacitors of equal capacitance are in a parallel circuit. If the total capacitance is 12F , what is the capacitance of each individual capacitor?

Possible Answers:

$\frac{1}{12}F$

12F

$\frac{1}{36}F$

Correct answer:

Explanation:

The formula for capacitors in parallel is:

$C_{eq}=C_1+C_2+C_3...$

Since we have three equal capacitors, we can say:

$C_{eq}=C+C+C=3C$

Use the value for total capacitance to find the individual capacitance value.

$C_{eq}=3C$

12F=3C

$\frac{12F}{3}=C$

4F=C

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Example Question #733 : High School Physics

A current of 8.5*10^8A runs through a straight wire. If the resulting magnetic field has a radius of 1.2m , how strong is the magnetic field?

$\small \mu_0=4\pi*10^{-7}\frac{T\cdot m}{A}$

Possible Answers:

337.6T

30.22T

0.01T

141.67T

340T

Correct answer:

141.67T

Explanation:

Ampere's law states:

$B=\frac{\mu_0 I}{2\pi r}$ .

In other words, the magnetic field (), is equal to a constant ( $\mu_0$ ) times the current () divided by the circumference of the magnetic field it is creating.

We are given the current, the constant, and the radius. Using these values, we can solve for the magnetic field strength.

$B=\frac{\mu_0 I}{2\pi r}$

$B=\frac{(4\pi*10^{-7}\frac{T\cdot m}{A})( 8.5*10^8A)}{2\pi 1.2m}$

Notice that the $\pi$ cancels out.

$B=\frac{(4*10^{-7}\frac{T\cdot m}{A}) (8.5*10^8A)}{2* 1.2m}$

$B=\frac{340{T\cdot m}}{2.4m}$

B=141.67T

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High School Physics : High School Physics

Study concepts, example questions & explanations for High School Physics

All High School Physics Resources

Example Questions

Example Question #43 : Electricity And Magnetism

Example Question #51 : Electricity And Magnetism

Example Question #731 : High School Physics

Example Question #1 : Calculating Total Capacitance

Example Question #6 : Calculating Total Capacitance

Example Question #51 : Electricity And Magnetism

Example Question #52 : Electricity And Magnetism

Example Question #732 : High School Physics

Example Question #54 : Electricity And Magnetism

Example Question #733 : High School Physics

All High School Physics Resources

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