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10TH GRADE PRACTICE

Physics Problems: Electrostatics, Grade 10

Charge, field, potential and capacitors.

12 problems3 subtopics
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CONDITIONS

Problems

12
№ 94

Problem 94

Electrostatics: charge and field

Upon contact, 5⋅10105\cdot10^{10} electrons were transferred from one metal ball to another. What charge has each ball acquired and with what force do they interact at a distance of 40 cm40\,\text{cm}?

  1. (8⋅10−9 Kl; 3,6⋅10−6 N)\left(8 \cdot 10^{-9}\,\text{Kl};\ 3{,}6 \cdot 10^{-6}\,\text{N}\right)
  2. (4⋅10−9 Kl; 1,8⋅10−6 N)\left(4 \cdot 10^{-9}\,\text{Kl};\ 1{,}8 \cdot 10^{-6}\,\text{N}\right)
  3. (1,6⋅10−8 Kl; 7,2⋅10−6 N)\left(1{,}6 \cdot 10^{-8}\,\text{Kl};\ 7{,}2 \cdot 10^{-6}\,\text{N}\right)
  4. (8⋅10−8 Kl; 3,6⋅10−5 N)\left(8 \cdot 10^{-8}\,\text{Kl};\ 3{,}6 \cdot 10^{-5}\,\text{N}\right)
№ 95

Problem 95

Electrostatics: charge and field

With what force is an electron attracted to a proton in a hydrogen atom at a distance of 5⋅10−11 m5\cdot10^{-11}\,\text{m}?

  1. 9,2⋅10−7 N9{,}2 \cdot 10^{-7}\,\text{N}
  2. 9,2⋅10−8 N9{,}2 \cdot 10^{-8}\,\text{N}
  3. 4,6⋅10−8 N4{,}6 \cdot 10^{-8}\,\text{N}
  4. 1,84⋅10−7 N1{,}84 \cdot 10^{-7}\,\text{N}
№ 96

Problem 96

Electrostatics: charge and field

Determine the field strength at a distance of 60 cm60\,\text{cm} from the charge 2⋅10−8 C2\cdot10^{-8}\,\text{C} and the force acting on the electron there.

  1. (1000 N/Kl; 1,6⋅10−16 N)\left(1000\,\text{N/Kl};\ 1{,}6 \cdot 10^{-16}\,\text{N}\right)
  2. (5000 N/Kl; 8⋅10−16 N)\left(5000\,\text{N/Kl};\ 8 \cdot 10^{-16}\,\text{N}\right)
  3. (500 N/Kl; 8⋅10−17 N)\left(500\,\text{N/Kl};\ 8 \cdot 10^{-17}\,\text{N}\right)
  4. (250 N/Kl; 4⋅10−17 N)\left(250\,\text{N/Kl};\ 4 \cdot 10^{-17}\,\text{N}\right)
№ 97

Problem 97

Electrostatics: charge and field

A metal charged ball with a radius of 20 cm20\,\text{cm} has a surface charge density of 4⋅10−7 C/m24\cdot10^{-7}\,\text{C/m}^{2}. Determine the tension inside the ball, on the surface, and at a distance of 10 cm10\,\text{cm} from the surface.

  1. (0 N/Kl; 22500 N/Kl; 10000 N/Kl)\left(0\,\text{N/Kl};\ 22500\,\text{N/Kl};\ 10000\,\text{N/Kl}\right)
  2. (0 N/Kl; 90000 N/Kl; 40000 N/Kl)\left(0\,\text{N/Kl};\ 90000\,\text{N/Kl};\ 40000\,\text{N/Kl}\right)
  3. (0 N/Kl; 4,5⋅105 N/Kl; 2⋅105 N/Kl)\left(0\,\text{N/Kl};\ 4{,}5 \cdot 10^{5}\,\text{N/Kl};\ 2 \cdot 10^{5}\,\text{N/Kl}\right)
  4. (0 N/Kl; 45000 N/Kl; 20000 N/Kl)\left(0\,\text{N/Kl};\ 45000\,\text{N/Kl};\ 20000\,\text{N/Kl}\right)
№ 98

Problem 98

Electrostatics: charge and field

In kerosene, two balls with charges of 4⋅10−7 C4\cdot10^{-7}\,\text{C} are located at a distance of 30 cm30\,\text{cm}, ε=2\varepsilon=2. What is the strength? How to change the distance so that the force increases 44 times? How will the force change if half the charge of one ball is transferred to another?

  1. (0,008 N; 0,15 m; 0,75 ot iskhodnoy sily)\left(0{,}008\,\text{N};\ 0{,}15\,\text{m};\ 0{,}75\,\text{ot iskhodnoy sily}\right)
  2. (0,004 N; 0,075 m; 0,375 ot iskhodnoy sily)\left(0{,}004\,\text{N};\ 0{,}075\,\text{m};\ 0{,}375\,\text{ot iskhodnoy sily}\right)
  3. (0,016 N; 0,3 m; 1,5 ot iskhodnoy sily)\left(0{,}016\,\text{N};\ 0{,}3\,\text{m};\ 1{,}5\,\text{ot iskhodnoy sily}\right)
  4. (0,08 N; 1,5 m; 7,5 ot iskhodnoy sily)\left(0{,}08\,\text{N};\ 1{,}5\,\text{m};\ 7{,}5\,\text{ot iskhodnoy sily}\right)
№ 99

Problem 99

Electrostatics: potential and field work

In a uniform field of strength 8000 N/C8000\,\text{N/C}, the charge 5⋅10−6 C5\cdot10^{-6}\,\text{C} moved 5 cm5\,\text{cm} along the field. Define the job.

  1. 0,02 Dzh0{,}02\,\text{Dzh}
  2. 0,002 Dzh0{,}002\,\text{Dzh}
  3. 0,001 Dzh0{,}001\,\text{Dzh}
  4. 0,004 Dzh0{,}004\,\text{Dzh}
№ 100

Problem 100

Electrostatics: charge and field

The distance between the plates is 0,5 cm0{,}5\,\text{cm}, the voltage is 200 V200\,\text{V}. Between them, a speck of dust is in equilibrium, lacking 10001000 electrons. Determine the mass of the dust particle.

  1. 1,28⋅10−12 kg1{,}28 \cdot 10^{-12}\,\text{kg}
  2. 6,4⋅10−12 kg6{,}4 \cdot 10^{-12}\,\text{kg}
  3. 6,4⋅10−13 kg6{,}4 \cdot 10^{-13}\,\text{kg}
  4. 3,2⋅10−13 kg3{,}2 \cdot 10^{-13}\,\text{kg}
№ 101

Problem 101

Electrostatics: capacitors

Capacitors 8 uF8\,\text{uF} and 12 uF12\,\text{uF} are connected to each other and connected to 50 V50\,\text{V}. Determine the total capacitance, charges and voltages for series and parallel connections.

  1. (2,4⋅10−6 F; 1,2⋅10−4 Kl; 15 V; 10 V; 1⋅10−5 F; 2⋅10−4 Kl; 3⋅10−4 Kl)\left(2{,}4 \cdot 10^{-6}\,\text{F};\ 1{,}2 \cdot 10^{-4}\,\text{Kl};\ 15\,\text{V};\ 10\,\text{V};\ 1 \cdot 10^{-5}\,\text{F};\ 2 \cdot 10^{-4}\,\text{Kl};\ 3 \cdot 10^{-4}\,\text{Kl}\right)
  2. (9,6⋅10−6 F; 4,8⋅10−4 Kl; 60 V; 40 V; 4⋅10−5 F; 8⋅10−4 Kl; 0,0012 Kl)\left(9{,}6 \cdot 10^{-6}\,\text{F};\ 4{,}8 \cdot 10^{-4}\,\text{Kl};\ 60\,\text{V};\ 40\,\text{V};\ 4 \cdot 10^{-5}\,\text{F};\ 8 \cdot 10^{-4}\,\text{Kl};\ 0{,}0012\,\text{Kl}\right)
  3. (4,8⋅10−5 F; 0,0024 Kl; 300 V; 200 V; 2⋅10−4 F; 0,004 Kl; 0,006 Kl)\left(4{,}8 \cdot 10^{-5}\,\text{F};\ 0{,}0024\,\text{Kl};\ 300\,\text{V};\ 200\,\text{V};\ 2 \cdot 10^{-4}\,\text{F};\ 0{,}004\,\text{Kl};\ 0{,}006\,\text{Kl}\right)
  4. (4,8⋅10−6 F; 2,4⋅10−4 Kl; 30 V; 20 V; 2⋅10−5 F; 4⋅10−4 Kl; 6⋅10−4 Kl)\left(4{,}8 \cdot 10^{-6}\,\text{F};\ 2{,}4 \cdot 10^{-4}\,\text{Kl};\ 30\,\text{V};\ 20\,\text{V};\ 2 \cdot 10^{-5}\,\text{F};\ 4 \cdot 10^{-4}\,\text{Kl};\ 6 \cdot 10^{-4}\,\text{Kl}\right)
№ 102

Problem 102

Electrostatics: capacitors

Capacitors 100 pF100\,\text{pF} and 400 pF400\,\text{pF} are connected to each other. The voltage at the first is 20 V20\,\text{V}. Determine the voltage on the second and the charges in parallel and series connections.

  1. (20 V; 2⋅10−9 Kl; 8⋅10−9 Kl; 5 V; 2⋅10−9 Kl)\left(20\,\text{V};\ 2 \cdot 10^{-9}\,\text{Kl};\ 8 \cdot 10^{-9}\,\text{Kl};\ 5\,\text{V};\ 2 \cdot 10^{-9}\,\text{Kl}\right)
  2. (10 V; 1⋅10−9 Kl; 4⋅10−9 Kl; 2,5 V; 1⋅10−9 Kl)\left(10\,\text{V};\ 1 \cdot 10^{-9}\,\text{Kl};\ 4 \cdot 10^{-9}\,\text{Kl};\ 2{,}5\,\text{V};\ 1 \cdot 10^{-9}\,\text{Kl}\right)
  3. (40 V; 4⋅10−9 Kl; 1,6⋅10−8 Kl; 10 V; 4⋅10−9 Kl)\left(40\,\text{V};\ 4 \cdot 10^{-9}\,\text{Kl};\ 1{,}6 \cdot 10^{-8}\,\text{Kl};\ 10\,\text{V};\ 4 \cdot 10^{-9}\,\text{Kl}\right)
  4. (200 V; 2⋅10−8 Kl; 8⋅10−8 Kl; 50 V; 2⋅10−8 Kl)\left(200\,\text{V};\ 2 \cdot 10^{-8}\,\text{Kl};\ 8 \cdot 10^{-8}\,\text{Kl};\ 50\,\text{V};\ 2 \cdot 10^{-8}\,\text{Kl}\right)
№ 103

Problem 103

Electrostatics: potential and field work

The distance between the plates is 5 cm5\,\text{cm}, the voltage is 80 V80\,\text{V}. Determine the force acting on the proton and its acceleration.

  1. (2,56⋅10−15 N; 1,53⋅1012 m/s2)\left(2{,}56 \cdot 10^{-15}\,\text{N};\ 1{,}53 \cdot 10^{12}\,\text{m/s}^{2}\right)
  2. (2,56⋅10−16 N; 1,53⋅1011 m/s2)\left(2{,}56 \cdot 10^{-16}\,\text{N};\ 1{,}53 \cdot 10^{11}\,\text{m/s}^{2}\right)
  3. (1,28⋅10−16 N; 7,65⋅1010 m/s2)\left(1{,}28 \cdot 10^{-16}\,\text{N};\ 7{,}65 \cdot 10^{10}\,\text{m/s}^{2}\right)
  4. (5,12⋅10−16 N; 3,06⋅1011 m/s2)\left(5{,}12 \cdot 10^{-16}\,\text{N};\ 3{,}06 \cdot 10^{11}\,\text{m/s}^{2}\right)
№ 104

Problem 104

Electrostatics: capacitors

Capacitors 300 pF300\,\text{pF} and 700 pF700\,\text{pF} are connected in series and connected to 200 V200\,\text{V}. Determine the voltage across each capacitor.

  1. (280 V; 120 V)\left(280\,\text{V};\ 120\,\text{V}\right)
  2. (1400 V; 600 V)\left(1400\,\text{V};\ 600\,\text{V}\right)
  3. (140 V; 60 V)\left(140\,\text{V};\ 60\,\text{V}\right)
  4. (70 V; 30 V)\left(70\,\text{V};\ 30\,\text{V}\right)
№ 105

Problem 105

Electrostatics: capacitors

Capacitors 8 uF8\,\text{uF} and 2 uF2\,\text{uF} are connected to 150 V150\,\text{V}. Determine the capacitance, charges and voltages for parallel and series connections.

  1. (5⋅10−6 F; 6⋅10−4 Kl; 1,5⋅10−4 Kl; 8⋅10−7 F; 1,2⋅10−4 Kl; 300 V)\left(5 \cdot 10^{-6}\,\text{F};\ 6 \cdot 10^{-4}\,\text{Kl};\ 1{,}5 \cdot 10^{-4}\,\text{Kl};\ 8 \cdot 10^{-7}\,\text{F};\ 1{,}2 \cdot 10^{-4}\,\text{Kl};\ 300\,\text{V}\right)
  2. (2⋅10−5 F; 0,0024 Kl; 6⋅10−4 Kl; 3,2⋅10−6 F; 4,8⋅10−4 Kl; 1200 V)\left(2 \cdot 10^{-5}\,\text{F};\ 0{,}0024\,\text{Kl};\ 6 \cdot 10^{-4}\,\text{Kl};\ 3{,}2 \cdot 10^{-6}\,\text{F};\ 4{,}8 \cdot 10^{-4}\,\text{Kl};\ 1200\,\text{V}\right)
  3. (1⋅10−4 F; 0,012 Kl; 0,003 Kl; 1,6⋅10−5 F; 0,0024 Kl; 6000 V)\left(1 \cdot 10^{-4}\,\text{F};\ 0{,}012\,\text{Kl};\ 0{,}003\,\text{Kl};\ 1{,}6 \cdot 10^{-5}\,\text{F};\ 0{,}0024\,\text{Kl};\ 6000\,\text{V}\right)
  4. (1⋅10−5 F; 0,0012 Kl; 3⋅10−4 Kl; 1,6⋅10−6 F; 2,4⋅10−4 Kl; 600 V)\left(1 \cdot 10^{-5}\,\text{F};\ 0{,}0012\,\text{Kl};\ 3 \cdot 10^{-4}\,\text{Kl};\ 1{,}6 \cdot 10^{-6}\,\text{F};\ 2{,}4 \cdot 10^{-4}\,\text{Kl};\ 600\,\text{V}\right)

THEORY

Lessons on the topic

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.

DIRECTORY

Formulas by topic

Electric chargeq, Q · ClElectrical voltageU · BElectric field strengthE · V/m, N/ClPotentialφ · BWorkA · JDistance and pathS, l · mElectrical capacityC · FEnergyE, W · J