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일반물리학/예제 14

Calculating the current in the wire

문제)A 0.900V potential difference is maintained across a 1.50m length of tungsten wire that has a cross-sectional area of 0.600mm^2. Calculate the current in the wire.  풀이)l = 1.50mA = 0.600mm^2 = 0.600 × 10^-6 m^2 = 6.00 × 10^-7 m^2△V = 0.900 V V = IR, I = V / R, R = ρ × l ÷ A임을 이용함. tungsten의 ρ(resistivity) = 5.6 × 10^-8 I = V / R = ( V × A ) / ( ρ × l ) I = ( V × A ) / ( ρ × l ) = ( 0.900 V × ..

Calculating time constant, maximun charge, and current in RC circuit

문제)R = 1.00 MΩ, C = 5.00 μF, ε = 30.0 V (a) Calculate the time constant of the circuit(b) Calculate the maximum charge of the capacitor after the switch is closed(c) Calculate the current in the resistor 10.0s after the switch is closed  풀이)R = 1.00 MΩ = 1.00 × 10^6 ΩC = 5.00 μF = 5.00 × 10^-6 Fε = 30.0 V (a)time constant τ = RC τ = RC = 1.00 × 10^6 Ω × 5.00 × 10^-6 F = 5.00 s (b) the maximum ch..

Calculating the energy stored in the magnetic field within the solenoid

문제)An air-core solenoid with 68 turns is 8.00cm long and has a diameter of 1.20cm. When the solenoid carries a current of 0.770A, how much energy is stored in its magnetic field within the solenoid? 풀이)magnetic field에 stored된 energy를 구하는 공식은 아래와 같다. U = 1/2 × I^2 × LL = μ0 × N^2 × A ÷ l μ0 = 4π × 10^-7 Tm/A N = 68l = 8.00 × 10^-2 mr = 1/2 × 1.20cm = 0.60cm = 6.00 × 10^-3 m A = π × r^2 = 36.0 × 1..

Calculating electric field at the point p2

문제)위 그림과 같이 Magnetic field directed into the page changes with time according to B = 0.0300t^2 + 1.40. The field has a circular cross section of radius r = 2.50cm. When t = 3.00s and r2 = 0.0200m, (a) calculate the magnitude of the electric field at the point p2. (b) find the direction of the electric field at the point p2. 풀이)(a)p2에서 induced electric field는 다음과 같은 방법으로 구할 수 있다. E = - dB/dt × r2..

Calculating applied force, and energy rate.

문제)위와 같이 회로가 구성되어 있고, R = 6.00 Ω, l = 1.20 m, |B| = 2.50 T라고 가정할 때 아래 두 문제를 풀어라.(a) Calculate the applied force requred to moce the bar to the right at a constant speed of 2.00 m/s.(b) At what rate is energy delivered to the resistor?. 풀이)(a) Φ = Blx임을 이용한다.또한 constant speed of 2.00 m/s로 움직이게 하는 applied force이므로, acceleration = 0이다. Bar을 일정한 속력 v로 움직이게 하는 것을 가정하고 있기 때문에 x = vt로 표현할 수 있다. 따라서 Φ =..

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