LVcVs++1 8. In the linear time-invariant circuit below, Before time t = 0 the switch is open, andthe voltages across the capacitors are v, = 1V, and v2 = 4V. The switch is closed attime t = 0 and remains in this condition for a time interval of t = 2n. The switch isopened at t = 2n, and remains open thereafter. What are the values of v, and v2 fort> 27?

10. A mass m hanging from a spring with spring constant k is taken to Mars, where g is 1/3 of its value on Earth, and the period of the oscillation is measured. Is the measured period on the Mars the same as the period measured on the Earth? Explain your answer.

(5 points) Two positive charges Q1and Q2 are separated by a distance r. The charges repel each other with a force of magnitude F = 16 N. If the magnitude of each charge is doubled and the distance stays unchanged, what is the new force between the charges? b. (5 points) Draw the direction of the electric field at location C, due to the dipole?

Two particles are fixed on the z axis, as shown below. The particle on the -z axis has a charge ne where n is a constant. Determine n such that a particle placed at point P only feels a force in the direction.

6. True or False: for a simple harmonic oscillator consisting of a mass on a spring, the period measured when the mass is hanging vertically (figure on p.2) is different than the period measured when the spring and mass are supported horizontally (figure on p.1).

11: An Amperian loop surrounds a current as is shown on the left. Initially that current passes through the center of the loop. The current is then moved off center. Did the circulation of B around the loop change? In other words, did f B- ds change? Did the magnetic field on the loop change? Explain.

3. Why is the measured mass different than calculated mass deposited?

Consider the following two mass-spring-damper system: The equations of motions for the system shown in Figure 1 are: m_{1} \bar{x}_{1}+c_{1} \dot{x}_{1}+k_{1} x_{1}-c_{1} \dot{x}_{2}-k_{1} x_{2}=f m_{2} \bar{x}_{2}+\left(c_{1}+c_{2}\right) \dot{x}_{2}+\left(k_{1}+k_{2}\right) x_{2}-c_{1} \dot{x}_{1}-k_{1} x_{1}=0 a) Implement the system of equations above in Simulink using the following parameters: m1 = 10; m2 = 100; c1 = 100;% I c2 = 1000; k1 = 1e4; k2 = 1e5; Define the model parameters in a separate .m file and use the ode45 Solver inside of Simulink. Make sure to decrease the maximum step size if the plots are not smooth. b) Simulate the response of the system assuming that f(t) is a step function of magnitude 5N. Plot the response of the systems (the two positions x1(t) and x2(t)) in two separate figures. c) Simulate the response of the system assuming that f (t) is a sinusoidal function:flt)=3 sin (10t). Plot the response of the systems (the two positions x1(t) and x,(t)) in two separate figures.

2.20 Use the Smith chart to find the following quantities for the transmission line circuit shown in the accompanying figure: (a) The SWR on the line. (b) The reflection coefficient at the load. (c) The load admittance. (d) The input impedance of the line. (e) The distance from the load to the first voltage minimum. (f) The distance from the load to the first voltage maximum.

To make a semiconductor conducting, it must have some carriers to flow the current. Answer following questions about carriers. (i) What are the different types of carriers that are possible in semiconductor lattice? (ii) What are the charges on different types of carriers? (iii)What are different methods by which we can increase the number of carriers in a semiconductor system? (Name two methods)