Upon contact, it passed from one metal ball to another. $5\cdot10^{10}$ electrons. What charge has each ball acquired and with what force do they interact at a distance? $40\,\text{sm}$?

q = 8\cdot 10^{-9}\,\text{Cl}; F = 3{,}6\cdot 10^{-6}\,\text{N}

Determine the field strength at a distance $60\,\text{sm}$ from charge $2\cdot10^{-8}\,\text{Kl}$ and the force acting on the electron there.

E = 500\,\tfrac{\text{N}}{\text{Cl}}; F = 8\cdot 10^{-17}\,\text{N}

Metal charged ball with radius $20\,\text{sm}$ has a surface charge density $4\cdot10^{-7}\,\text{Kl/m}^{2}$. Determine the tension inside the ball, on the surface and at a distance $10\,\text{sm}$ from the surface.

E_1 = 0; E_2 = 45\,000\,\tfrac{\text{B}}{\text{m}}; E_3 = 20\,000\,\tfrac{\text{B}}{\text{m}}

Capacitors $8\,\text{mkF}$ and $12\,\text{mkF}$ interconnected and connected to $50\,\text{V}$. Determine the total capacitance, charges and voltages for series and parallel connections.

C_{\text{after}} = 4{,}8\cdot 10^{-6}\,\text{F}; q = 2{,}4\cdot 10^{-4}\,\text{Cl}; U_1 = 30\,\text{B}; U_2 = 20\,\text{B}; C_{\text{steam}} = 2\cdot 10^{-5}\,\text{F}; q_1 = 4\cdot 10^{-4}\,\text{Cl}; q_2 = 6\cdot 10^{-4}\,\text{Cl}

Capacitors $100\,\text{pF}$ and $400\,\text{pF}$ connected to each other. Voltage at first $20\,\text{V}$. Determine the voltage on the second and the charges in parallel and series connections.

U_2^{\text{steam}} = 20\,\text{B}; q_1 = 2\cdot 10^{-9}\,\text{Cl}; q_2 = 8\cdot 10^{-9}\,\text{Cl}; U_2^{\text{after}} = 5\,\text{B}; q^{\text{after}} = 2\cdot 10^{-9}\,\text{Cl}

Distance between plates $5\,\text{sm}$, voltage $80\,\text{V}$. Determine the force acting on the proton and its acceleration.

F = 2{,}56\cdot 10^{-16}\,\text{N}; a = 1{,}53\cdot 10^{11}\,\tfrac{\text{m}}{\text{s}^{2}}

Capacitors $300\,\text{pF}$ and $700\,\text{pF}$ connected in series and connected to $200\,\text{V}$. Determine the voltage across each capacitor.

U_1 = 140\,\text{B}; U_2 = 60\,\text{B}

Capacitors $8\,\text{mkF}$ and $2\,\text{mkF}$ connected to $150\,\text{V}$. Determine the capacitance, charges and voltages for parallel and series connections.

C_{\text{steam}} = 10^{-5}\,\text{F}; q_1 = 1{,}2\cdot 10^{-3}\,\text{Cl}; q_2 = 3\cdot 10^{-4}\,\text{Cl}; C_{\text{after}} = 1{,}6\cdot 10^{-6}\,\text{F}; q = 2{,}4\cdot 10^{-4}\,\text{Cl}; U_2 = 120\,\text{B}

10TH GRADE PRACTICE

Physics Problems: Electrostatics, Grade 10

Charge, field, potential and capacitors.

12 problems across 3 sub-topics

Practise in the interactive mode

Here the conditions and analysis of the solution can be read without an account. In the simulator, you need to collect the same analyzes yourself: “Given,” formulas, order of steps and answer.

Problem statements

The answer options are there to check against, and the walkthrough opens under each problem.

12 problems

Position in this set: 1 from 12

Problem #94

Electrostatics: charge and field

Upon contact, it passed from one metal ball to another. electrons. What charge has each ball acquired and with what force do they interact at a distance? ?

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Given

Find

One ball gained extra electrons, the other lost exactly the same number.

Answer

Position in this set: 2 from 12

Problem #95

Electrostatics: charge and field

With what force is an electron attracted to a proton in a hydrogen atom at a distance ?

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Given

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Answer

Position in this set: 3 from 12

Problem #96

Electrostatics: charge and field

Determine the field strength at a distance from charge and the force acting on the electron there.

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Given

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Answer

Position in this set: 4 from 12

Problem #97

Electrostatics: charge and field

Metal charged ball with radius has a surface charge density . Determine the tension inside the ball, on the surface and at a distance from the surface.

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Given

Find

There is no field inside a charged conductor.
On the surface of the ball.

Answer

Position in this set: 5 from 12

Problem #98

Electrostatics: charge and field

There are two kerosene balls with charges of each are at a distance , . What is the strength? How to change the distance so that the force increases in times? How will the force change if half the charge of one ball is transferred to another?

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Given

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The force quadruples if the distance is halved.
The production of charges has decreased, so the force will be 0.75 of the previous one.

Answer

Position in this set: 6 from 12

Problem #99

Electrostatics: potential and field work

In a uniform field of intensity charge moved to along the field. Define the job.

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Given

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Answer

Position in this set: 7 from 12

Problem #100

Electrostatics: charge and field

Distance between plates , voltage . Between them, in balance, there is a speck of dust that is missing electrons. Determine the mass of the dust particle.

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Given

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Equilibrium: Electrical force balances gravity.

Answer

Position in this set: 8 from 12

Problem #101

Electrostatics: capacitors

Capacitors and interconnected and connected to . Determine the total capacitance, charges and voltages for series and parallel connections.

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Given

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In a series connection, the charge on both capacitors is the same.
In a parallel connection, the voltage is the same, not the charge.

Answer

Position in this set: 9 from 12

Problem #102

Electrostatics: capacitors

Capacitors and connected to each other. Voltage at first . Determine the voltage on the second and the charges in parallel and series connections.

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Given

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Parallel connection: common voltage.
Series connection: common charge.

Answer

Position in this set: 10 from 12

Problem #103

Electrostatics: potential and field work

Distance between plates , voltage . Determine the force acting on the proton and its acceleration.

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Given

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Answer

Position in this set: 11 from 12

Problem #104

Electrostatics: capacitors

Capacitors and connected in series and connected to . Determine the voltage across each capacitor.

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Given

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Check: q/C_2 gives the same value.

Answer

Position in this set: 12 from 12

Problem #105

Electrostatics: capacitors

Capacitors and connected to . Determine the capacitance, charges and voltages for parallel and series connections.

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Given

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The sum of the voltages gives 150 V - this is a check of the calculation.

Answer

The theory behind these problems

Work through the topic if a problem will not give in.

Charge and electric fieldLaw of conservation of charge, Coulomb's law, tension and superposition.Potential and voltageField work, potential energy, potential and potential difference.CapacitorsElectrical capacity, flat capacitor, energy and connections.

Formulas by topic

Look up symbols and units of measurement in the reference.

Electric chargeq, Q · Cl Electrical voltageU · B Electric field strengthE · V/m, N/Cl Potentialφ · B WorkA · J Distance and pathS, l · m Electrical capacityC · F EnergyE, W · J