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Solved in 2 steps
- Check Your Understanding How would you use a river and two waterfalls to model a parallel configuration of two resistors? How does this analogy break down?A battery of terminal potential is connected to a lightbulb (Fig. 28.2). After a long time, the bulb stops working because the filament snaps. After the filament breaks, how much power is dissipated by the filament? Explain your answer.A 0.20-ΩF capacitor is to be charged through a resistor so that it becomes 63 percent charged in0.10 s. What should the resistance of the capacitor be?
- In the circuit shown in the figure, the S switch closed at t=0 and the capacitors, which are completely empty, begin to fill. Here ε=10 V, C=5 μF and R=55 Ω. What is the time constant of the circuit, τ, in units of microseconds? When t= τ, what is the total charge, in units of microcoulomb, accumulated in the capacitors?The given pair of capacitors in the figure below is fully charged by a 26.0-V battery. The battery is disconnected and the circuit closed. (a) After 1.70 ms, how much charge remains on the 3.00-?F capacitor???C(b) After 1.70 ms, how much charge remains on the 2.00-?F capacitor???C(c) After 1.70 ms, what is the current in the resistor??mAA 13.0 kΩ resistor and a capacitor are connected in series and then a 20.0 V potential difference is suddenly applied across them. The potential difference across the capacitor rises to 5.0 V in 4.8 μs. Find the capacitance of the capacitor. (Your result must be in multiples of 10-10 Farads and include 2 digit after the decimal point. That means if, for example, you get a result of a 9.22x10-10 just type 9.22 in the answer box. Maximum of 5% of error is accepted in your answer. )
- A capacitor used to provide steady voltages in the power supply of a stereo amplifier charges rapidly to 35 V every 1/60 second. It must then hold that voltage to within 1.0 V for the next 1/60 s while it discharges through the amplifier. If the amplifier draws 1.2 A from the 35-V supply, (a) what’s its effective resistance, and (b) what capacitance is needed?If you touch the terminal of a battery, the small area of contact means that the skin resistance will be relatively large; 50 kΩ is a reasonable value. What current will pass through your body if you touch the two terminals of a 9.0 V battery with your two hands? Will you feel it? Will it be dangerous?When resistors 1 and 2 are connected in series, the equivalent resistanceis 15.4 Ω. When they are connected in parallel, the equivalent resistanceis 2.70 Ω. What are (a) the smaller resistance and (b) the largerresistance of these two resistors?
- in the curcuit shown in the figure , the S switch is closed at t = 0 and the capacitors, which are completely empty, begin to fill. Here E = 20 V , C = 4uF and R = 30 ohm. a) what is the time constant of the circuit , T in units of microseconds? b)when t=T , what is the total charge , in units of microcloumb accumulated in the capacitors ?Resistance, R, is defined using R = V/I where V is the potential across a resistor, and I is thecurrent. R is measured in ohms (Ω), where 1 Ω = 1 V/A. The constant you determined in eachequation should be similar to the resistance of each resistor. However, resistors aremanufactured such that their actual value is within a tolerance. For many common resistors, thetolerance is 5% or 10%. Calculate the range of possible values for each resistor. Does the constant in each equation fit within the appropriate range of values for each resistor? Do the resistors follow Ohm’s law? Base your answer on your experimental data. Slope (V/A) Y-intercept (V) Resistor 10 Ω 9.896V/A 0.0005526V Resistor 51 Ω 50.91V/A 0.01030V Light bulb (first 3 pts) 5.386V/A n/a Light bulb (last 10 pts) 43.26V/A n/aFour resistors are connectedto a battery as shownin Figure P18.12. (a) Determinethe potential differenceacross each resistor interms of ε. (b) Determinethe current in each resistorin terms of I.
