The source voltage is v1(t) = sin(2000t). we wish to obtain the current through the 250 ω resistor (i250) and the 500 ω resistor (i500). there is no initial energy stored in the circuit and the source turns on at time t = 0. (a) find the state equation for this circuit. (b) find the output equation. (c) using your state and output equations, use matlab to plot the resistor currents for 0 ≤ t ≤ 4 ms. use a sufficient number of samples so that the plot appears smooth.

The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.0 × 10-6 c/m2. (a) what is the magnitude of the electric field within the cell membrane? (b) find the magnitude of the electric force that would be exerted on a potassium ion (k+; charge = +e) placed inside the membrane.

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Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. how long will the ball be in the air before it lands? how far will the football travel before it lands?