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- (a) Explain how the mnemonic ELI the ICE man can be used to recall whether current leads voltage or voltage leads current in RLC circuits. Note that E represents emf . (b) Explain how CIVIL works as another mnemonic device, where V represents voltage.How does the resistance for copper and for silicon change with temperature? Why are the behaviors of these two materials different?Find the current through a person and identify the likely effect on her if she touches a 120-V ac source: (a) if she is standing on a rubber mat and offers a total resistance of 300 k (b) if she is standing barefoot on wet grass and has a resistance of only 4000 k .
- In Figure 21.41. does the graph indicate the time constant is shorter for discharging than for charging? Would you expect ionized gas to have low resistance? How would you adjust R to get a longer time between flashes? Would adjusting R affect the discharge time?Consider the circuits shown below, (a) What is the current through each resistor in part (a)? (b) What is the current through each resistor in part (b)? (c) What is the power dissipated or consumed by each circuit? (d) What is the power supplied to each circuit?The power dissipated in a resistor is given by P = V2/R, which means power decreases if resistance increases. Yet this power is also given by P = I2R, which means power increases if resistance increases. Explain why there is no contradiction here.
- Ohm's law gives the relationship between voltage, resistance, and current in a simple circuit: V = IR. a) Find (dV/dt) in terms of I, R, (dI/dt) and (dR/dt). Assume all quantities are functions of time. b) We have a circuit with 500 Ω resistor, and we ramp up the voltage. How quickly is the current changing when we are increasing the voltage by 10 V/s? It will help to remember that t is the independant variable here. Include units, note that 1Ω = 1V/A. c) Is the current increasing or decreasing? How can you tell?1. Please draw a circuit diagram for a 15 V battery that is in series with a 5-ohm resistor, has an open switch, and a .75 uF capacotir. Then find the circuit's time constant in us. 2. Find the initial curent when the swith is closed at t=0s and use the initial current plue the time constant to create a mathematical expression for the current as a function of time, I(t). Please include a drawing of I(t) from t=0 to t=5 RC 3. Use the expression you created in 2 to find the current at t=.010ms 4. Find the charge Q on the capacitor plates when they are fully charged. Write another mathematical expression for the capactitor charge as a function of time using the charge Q plus the time constant. Include a drawing of Q(t) from t=0 to t=5RC. 5. Use the expression you created in 4 to find voltage across the capacitor plates at t=.010ms. (just the last two)1. Please draw a circuit diagram for a 15 V battery that is in series with a 5-ohm resistor, has an open switch, and a .75 uF capacotir. Then find the circuit's time constant in us. 2. Find the initial curent when the swith is closed at t=0s and use the initial current plue the time constant to create a mathematical expression for the current as a function of time, I(t). Please include a drawing of I(t) from t=0 to t=5 RC 3. Use the expression you created in 2 to find the current at t=.010ms 4. Find the charge Q on the capacitor plates when they are fully charged. Write another mathematical expression for the capactitor charge as a function of time using the charge Q plus the time constant. Include a drawing of Q(t) from t=0 to t=5RC. 5. Use the expression you created in 4 to find voltage across the capacitor plates at t=.010ms. (just the first three)
- EMF = Vo = 6 volts. and C = 5 μF Calculate the theoretical value of the capacitor’s voltage during charging at t=RC for the 100 kΩ resistor. Use equation 4.What voltage will produce 0.2 AA of current through a 4800-ΩΩ resistor? Express your answer to two significant figures and include the appropriate units. V=What is the KCL equation in this circuit? Convert the KCL and KVL equation into matrix form (X and Y).
