Eletricidade e eletromagnetismo · AP Physics 2 (DC Circuits)
Simulador dinâmico da lei de Ohm
Simulador dinâmico da lei de Ohm e medição volt-ampere: conexões interna e externa
- No navegador
- Sem cadastro
- Dedução ao vivo
- Modo projetor
- Folha de exercícios A4
Janela de simulação 3D● 60 FPS
Variáveis de controle do experimento
Ω
Ω
Ω
Deduções e métricas em tempo real
Resistência medida R_med
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Erro sistemático relativo
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Limite crítico sqrt(RA*RV)
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Ligação recomendada
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Dedução de fórmulas em tempo real
Fórmula fundamental:
--Substituição de valores:
--Estado físico: --
Ferramenta relacionada:
⚡ Standard Tool: Ohm's Law Calculator ↗
Exemplos clássicos e armadilhas de exame
Worked Problem
Problema: Rx ≈ 10Ω, RA = 0.2Ω, RV = 2000Ω. Choose internal or external wiring. Does it read high or low?
Derivação passo a passo:
- Critical R0 = sqrt(0.2*2000) = 20Ω. Since Rx < 20Ω (small resistor), select external wiring. Voltmeter current diversion makes R_meas read low.
Worked Problem
Problema: A conductor passes 0.5A at 6V. What is its resistance? What if voltage drops to 0V?
Derivação passo a passo:
- R = 6/0.5 = 12Ω. At 0V, resistance remains 12Ω! Resistance is an intrinsic physical property independent of voltage.
Folha de investigação em aula e exercícios
Q1. Variant 1: In testing I vs U relationship, what parameter must be kept constant? What is the rheostat's function?
Answer Key: Resistor value R must be constant. Rheostat protects the circuit and modulates voltage to gather multiple test points.
Q2. Variant 2: How does the "touch test" empirical method identify optimal wiring without knowing meter resistances?
Answer Key: Toggle the voltmeter lead across the ammeter: if current changes significantly, choose internal; if voltage changes significantly, choose external.
Q3. Variant 3: A uniform wire is folded in half and twisted together. What is the new resistance ratio?
Answer Key: 1/4 original! Length halves (L/2) and cross-section doubles (2S), yielding R' = 1/4 R via R = ρL/S.
Perguntas frequentes e erros comuns
Does Ohm's law apply universally? When does it fail?
Strictly for ohmic resistors. It fails for non-ohmic devices (motors, electrolysis cells, diodes) where electrical energy converts to work or chemistry.
Why does volt-ampere measurement always carry systematic error? How to achieve zero error?
Real meters are non-ideal. True zero-error measurement requires a Wheatstone bridge or Kelvin 4-wire sensing.
How does temperature affect metal vs semiconductor resistance differently?
Metals have positive temperature coefficient (PTC, R rises with heat). Semiconductors have negative coefficient (NTC, R drops exponentially).
What is typical human body resistance? Why is 36V the legal safety threshold?
Wet human skin drops to ~1000Ω. Lethal threshold is ~30mA. U = IR = 30mA * 1000Ω = 30V, establishing the 36V safety ceiling.