# Capacitors MCQs with Explanatory Answers

## Capacitors MCQs with Explanatory Answers

**1.**Β The Mark on Ceramic or Non-Polarized Capacitors is “104”. What is the value of Capacitor?

- 104 Β΅F
- 10000 Β΅F
- 10000 nF
- 100000 pF

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**Answer:Β Β Β 4.Β Β Β Β Β Β Β Β 100000 pF**

**Explanation**:

Here is the Capacitor marking is “104”

It’s mean that = 10 + 4 Zeros = **1,000,00 pF**

= 100 nF = 0.1 Β΅F

**2.**Β A capacitor passes AC and blocks DC

- True
- False

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**Answer:Β Β Β Β ( 1 ) **

Capacitive Reactance is given as:

X_{c} = 1/2 ΟfC

Where, f is the frequency of applied voltage to the capacitor plates and C is the capacitance.

For DC, the value of f is zero and hence the capacitive reactance is infinite. Since capacitive reactance denotes the opposition to flow of current just like resistance, this implies the capacitor blocks passage of DC current.

Since frequency of AC signals is anything but zero or less than that, capacitive reactance has a finite value for AC supply and allows to pass AC.

**Β 3.**Β Leads of all capacitors are polarized.

- True
- False

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**Answer:Β Β Β Β Β ( 2 ) **

Capacitors are of two types based on their polarity β Electrolyte and Non-Polarized Capacitors. While Electrolyte capacitors have polarized leads, the non-polarized capacitors like ceramic, mica etc. have equivalent leads.

Β **4.**Β Value of the below disk ceramic capacitor is:

- Β
**400pF**,Β +/- 5%Β tolerance - Β
**250pF**,Β +/- 2% tolerance - Β
**300pF**,Β +/- 4% tolerance - Β
**100nF**,Β +/- 2%Β tolerance

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**Answer:Β Β Β Β Β ( 2 ) **

As per the colour code for disk ceramic capacitor, the first two colours represent the value of capacitance, the third colour represents the multiplier and the last colour represents the tolerance.

Thus, referring the colour chart, we come to the following conclusion:

- First colour: Red. Hence first digit is 2
- Second colour: Green. Hence second digit is 5
- Thus, value of capacitance is 25
- Third colour: Brown. Hence multiplier is 10pF
- Fourth colour: Red. Hence tolerance is +/-2%

Therefore, value of the capacitor is 25 x 10pF, +/-2%,Β Β i.e.Β 250pF, +/-2%Β tolerance.

**Β 5.**Β Reading of the below capacitor is

- Β
**46**Β x 10pF,Β Β +/-5% Tolerance, 250Β Volts - Β
**50**Β x 100pF, +/-2% Tolerance, 100Β Volts - Β
**35**Β x 10uF,Β Β +/-1% Tolerance,Β 60Β Β Volts - Β
**50**Β x 100nF, +/-4% Tolerance,Β 250 Volts

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**Answer:Β Β Β Β Β Β (Β 1Β )**

As per the colour code for tubular capacitor, the first two colours represent the value of capacitance, the third colour represents the multiplier, fourth colour represents the tolerance and last colour represents the maximum permissible voltage across the capacitor.

Thus, referring the colour chart, we come to the following conclusion:

- Β First colour:Β Β Β Β Β Β Yellow. Hence first digit is 4
- Β Second colour:Β Β Blue. Hence second digit is 6
- Β Thus, value of capacitance is 46.
- Β Third colour:Β Β Β Β Β Brown. Hence multiplier is 10pF
- Β Fourth colour:Β Β Green. Hence tolerance is +/-5%
- Β Fifth colour:Β Β Β Β Β Β Red. Hence voltage is 250 Volts

Thus, value of the capacitor is: 46 x 10pF, +/-5% tolerance, 250 Volts.

**Β**

**Β 6.**Β For capacitors connected in parallel, the total capacitance would be:

- Product of the individual capacitances
- Sum of the individual capacitances
- Inverse of the sum of inverse values of capacitors
- None of these

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**Answer:Β Β Β Β Β Β (Β 2Β )**

Consider the below parallel connection of capacitors

Applying Kirchhoffβs current law, we getΒ

Now we know current through capacitor N is,

Also, voltage across each capacitor is same.

Substituting in equation **1**, we get:

**Thus, for parallel connection of capacitors, the total capacitance is the summation of individual capacitances.**

**Β 7.**Β For capacitors connected in series, the total capacitance is:

- Same as that of value of total resistances in parallel connection
- Sum of the individual values
- Same as that of value of total resistances in series
- None of the these

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**Β 8.**Β Energy stored in the capacitor is:

- Β Β
**ΒΌ CV** **Β Β Β½ CV**^{2}**Β Β CV**^{2}**Β Β 1/2CV**

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**Β 9.**Β Value of ESR for actual capacitors are in the range of:

- Milli Ohms to Ohms
- Micro Ohms to Milli Ohms
- Ohms to Mega Ohms
- Nano Ohms to Ohms

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**Answer:Β Β Β Β ( 1 ) **

Even though theoretically the dielectric material between plates of a capacitor has infinite resistivity, it has some finite resistivity which leads to flow of current known as leakage current. The Equivalent Series Resistance (ESR) is the total resistance offered by the dielectric material and other metal elements in the capacitor and denotes the total losses incurred. It typically ranges from mili-ohms to ohms.

**10.**Β For the below circuit, energy stored in individual capacitors at DC conditions is:

- Β 0 Joules,
**12 x 10^- 4**Joules,**72 x 10**Joules^{-4} - Β 0 Joules,
**144 x 10**Joules,^{-5}**72 x 10**Joules^{-5} - Β
**72 x 10**^{-4 }Joules, 144 micro Joules, 0 Joules - Β None of these

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**Answer:Β Β Β Β Β Β Β ( 2 )**

Given: Voltage across capacitor, C1 = 0

Hence energy stored in capacitor, C1 = 0 Joules

Voltage across capacitor, C2 = 12V

Hence, energy stored in capacitor, C2 = 1/ 2CV^{2} = 144 x 10^{-5} Joules

Voltage across capacitor, C3 = 12V

Hence, energy stored in capacitor, C3 = 1/ 2CV^{2} = 72 x 10^{-5} Joules

**11.**Β For the below circuit, current through the capacitor is———-?

- Β
**0.2cosΒ Β Β 100Οt** **Β 0.15cosΒ 100Οt****Β 0.1cosΒ Β Β 100Οt****Β 0.25cosΒ 100Οt**

### Show Explanatory Answer

**Given:**

Voltage, v(t) = 30sin ( 100 Οt )

Capacitance, C1 = 50uF

Thus current through capacitor, i(t) = **Cdv (t)/ dt** = 50 x 10^{-6} d( 30sin 100Οt ) /dt = 50 x 10^{-6} x 30 x 100 x Οcos 100 Οt = 15 x 10^{-2}cos 100Οt

**12.**Β A capacitor works in an———–

- Β Electric Field
- Β Magnetic Field
- Β None of these
- Β Both

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**Answer:Β Β Β Β Β Β Β ( 1 )**

A capacitor consists of two electric conductors separated by a distance d with a dielectric material. When voltage is applied to the conductors, the potential difference between the conductors charges the conductors, which creates a uniform electric field between the conductors. This electric field is defined as the force per unit charge. Thus, a capacitor works in electric field.

**13.**Β Capacitance of a capacitor is the measure of its ability to ——-

- Resist flow of current
- Store charge
- Allow flow of current
- None of these

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**Answer: Β Β Β ( 2 )**

Capacitance is the measure of a capacitor to store charge for a given electric potential. If it charged to βVβ volts, it stores charge +Q at one plate and charge -Q at another plate. Capacitance of 1 Farad denotes storage of 1 Coulomb charge for 1 volt potential difference.

**14.**Β When DC voltage is applied to a capacitor, it———–

- Acts as a short circuit at the instance of applied voltage and then as an open circuit once fully charged
- Acts as an open circuit from the beginning
- Acts as a short circuit
- None of these

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**Answer:Β Β Β Β Β ( 1 )**

Consider the circuit given below:

When the DC voltage is applied to the capacitor, initially high current passes through the capacitor plates as it starts getting charged. After time βtβ, the value of current drops to zero as the capacitor plates get fully charged. This time βtβ is given as the reciprocal of RC, where R is the value of resistor R1.

**15.**Β Capacitors are used in electric power supply system to——–

- Improve power factor
- Reduce line current
- Provide voltage stability
- All of these

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**Answer:Β Β Β Β ( 4 ) **

Most of the electric power supply systems have inductive loads, which causes lagging effect on the supply current. This causes an increase in apparent or reactive power and increases the supply current.

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