5. Consider the electrical circuit shown below. If the voltage input e, is sin wt, what is the output voltage e, at steady state?
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- In a circuit, if the resistance is left constant and the voltage is doubled (for example, from 3V to 6V), how does the current change? Does this conform to Ohm’s law? a. The current will get doubled. This conforms to Ohm’s law as the current is proportional to the voltage. b. The current will double. This does not conform to Ohm’s law as the current is proportional to the voltage. c. The current will increase by half. This conforms to Ohm’s law as the current is proportional to the voltage. d. The current will decrease by half. This does not conform to Ohm’s law as the current is proportional to the voltage.The parallel circuit at the right depicts three resistors connected to a voltage source. The voltage source (ΔVtot) is a 110.-V source and the resistor values are 15.4 Ω (R1), 21.9 Ω (R2) and 11.7 Ω (R3).a. Determine the equivalent resistance of the circuit.b. Determine the current in each branch resistor.c. Determine the total current in the circuit.3. In the circuit shown below: A. How much power is dissipated by the 12 Q resistor? B. What is the value of the potential at points a, b, c, and d? b. 6 V 6 0 12 Ω 3 V a d.
- a) Calculate the equivalent resistance in a series circuit. b) Calculate the current flow the circuit using Ohm's Law. c) Calculate the voltage on the R1 using Ohm's Law. Voltmeter R1 R2 260 Q 540 O 2.4 VA. Three resistors with resistances of 9 Ω, 18 Ω, and 30 Ω are in a series circuit with a 12 volt battery. What is the total resistance of the resistors in the circuit? B. What is the current flow through the resistors in #7 above? C. What is the total power of three 10 ohm bulbs when they are connected in a 12 volt series circuit?D4
- 7. What will be the terminal voltage when the current / drawn from the battery is (a) 10.0 A and (b) 100.0 A if the car battery has a 12.0 V emf and 0.010 ohms internal resistance?72. The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines is represents "ground" and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure. (a) What is the output voltage Vout of circuit (a) in terms of R1, R2, and Vin? (b) What is the output voltage Vout of circuit (b) in terms of R1, R2, RL, and Vin ? R1 Vin R1 in Vout Vout R2 R2 RL OV O V (a) (b)5. An electric circuit contains a resistance R and a capacitor C in series, and a battery supplying a time-varying electromotive force (or voltage) V(t). The charge q on the capacitor therefore obeys the following differential equation: Rdq + 2 = V(t). dt Assuming that initially there is no charge on the capacitor, and given that V(t) Vosinut, where V₂ and w are some constants, find the charge on the capacitor as a function of time. = Hint: You may have to do integration by parts twice to evaluate the following inte- gral: feRc sin(wt)dt.