**The switch in the figure (Figure 1) has been in position a for a long time. It is changed to position b at t=0s. Par…**

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## Question “The switch in the figure (Figure 1) has been in position a for a long time. It is changed to position b at t=0s. Par…”

The switch in the figure (Figure 1) has been in position a for a

long time. It is changed to position b at t=0s.

**Part A**

What is the charge *Q* on the capacitor immediately after

the switch is moved to position b?

Express your answer using two significant figures.

Q = | ?C |

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Up**

**Part B**

What is the current *I* through the resistor immediately

after the switch is moved to position b?

Express your answer using two significant figures.

I = | mA |

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Up**

**Part C**

What is the charge *Q* on the capacitor at

*t*=50*?*s?

Express your answer using two significant figures.

Q = | ?C |

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Up**

**Part D**

What is the current *I* through the resistor at

*t*=50*?*s?

Express your answer using two significant figures.

I = | mA |

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Up**

**Part E**

What is the charge *Q* on the capacitor at

*t*=200*?*s?

Express your answer using two significant figures.

Q = | ?C |

**Submit****My Answers****Give
Up**

**Part F**

What is the current *I* through the resistor at

*t*=200*?*s?

Express your answer using two significant figures.

I = | mA |

## Answer

This problem can be solved by charging an RC circuit.

The charge on a capacitor can initially be calculated by multiplying its capacitance and the voltage of a battery. Ohm’s law later allows you to calculate the current flowing through the circuit. The instantaneous charge of the capacitor can then be calculated by multiplying the instantaneous voltage with the capacitance.

The ratio of the instantaneous resistance to the voltage can then be used to calculate the instantaneous charge. The instantaneous charge of the capacitor can also be calculated by multiplying the instantaneous voltage with the capacitance. The ratio of the instantaneous resistance and the voltage can be used to calculate the instantaneous charge.

Below is the expression for the charge of the capacitor

represents the voltage, #media_tag_2$ the charge and @media_tag_3$ the capacitance.

This is the expression of the circuit’s current:

the resistance in the circuit.

Below is the expression for the instantaneous voltage

is the instantaneous voltage, and

represents time.

This is the expression of the instantaneous capacitor charge:

is the instantaneous cost.

Below is the expression for the instantaneous current

is the instantaneous current.

**(A)**

This is the expression for the charge on a capacitor:

Substitute HTMLmedia_tag_15$ to

or HTMLmedia_tag_17$ to

.

**(B)**

This is the expression for current:

.

**(c)**

This is the expression for instantaneous voltage:

Substitute

to

;

to

;

to

;

to

.

Below is the expression for an instantaneous cost.

Substitute HTMLmedia_tag_37$ to

and HTMLmedia_tag_39$ to

.

**(d)**

This is the expression for instantaneous current:

Substitute HTMLmedia_tag_43$ to

or HTMLmedia_tag_45$ to

.

**(e)**

This is the expression for instantaneous voltage:

Substitute

to

;

to

;

to

;

to

;

;

Below is the expression for an instantaneous cost.

Substitute HTMLmedia_tag_59$ to

or HTMLmedia_tag_61$ to

.

**(f)**

This is the expression for instantaneous current:

Ans Part A

## Conclusion

Above is the solution for “**The switch in the figure (Figure 1) has been in position a for a long time. It is changed to position b at t=0s. Par…**“. We hope that you find a good answer and gain the knowledge about this topic of **science**.