The emf source, ɛ=4.5 V, of the circuit shown in the figure has negligible internal resistance. The resistors have resistances R1=2 Q and R2=4.7 Q. The capacitor has a capacitance C=4.9 µF. Determine the time constant t, in units of microseconds, for charging the capacitor. What is the charge Q on the capacitor in units of microcoulomb?
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- A resistor with an unknown resistance is connected in parallel to a 17 Ω resistor. When both resistors are connected in parallel to an emf source of 19 V, the current through the unknown resistor is measured with an ammeter to be 2 A.What is the resistance of the unknown resistor?Answer in units of Ω.A circuit consisting of 5 resistors is shown in the graph. Their resistances are R1 = 16 Ω, R2 = 35 Ω, R3 = 93 Ω, R4 = 36 Ω, and R5 = 32 Ω, and the emf of the battery is ε = 3.5 V. Suppose the internal resistance of the battery is zero. a. Express the current I through R1 in terms of the emf ε and the equivalent resistance R. b. Express the power P dissipated by R1 through I and R1. c. Calculate the numerical value of I in A. d. Calculate the numerical value of the power P in W.E10P1
- A circuit is constructed using two batteries and three resistors as shown in the figure. The batteries have voltages Va=6.0 Vand Vb=1.5 V. The resistors have resistances R1=8.0 ohm, R2=10 ohm, and R3=12 ohm. Define the positive current direction through R2 to be downward. What is the current i2 through resistor R2?Three capacitors with capacitances C1 = C, C2 = 3C, and C3 = 5C, are in a circuit as shown. The source has potential difference ΔV = 17 V. It is observed that one plate of the capacitor C3 has a charge of q = 5 mC. Write an expression for the capacitance C (that is, the capacitance of the first capacitor), in terms of q and ΔV.Consider a circuit where a 3.58 Ω resistor is connected in parallel with a second unknown resistor. The second resistor has a measured voltage of 12 V and a measured current of 3.48 A. determine the resistance and complete the circuit table R1 = Δ V1 = I1 = R2 = Δ V2 = I2 = Req = Δ Veq = Ieq =
- The figure shows an ideal battery of emf € = 13 V, a resistor of resistance R = 6.3 M2, and an uncharged capacitor of capacitance C = 6.3 μF. After switch S is closed, what is the current through the resistor when the charge on the capacitor is 9.5 μC? 4 RIn the circuit below, the capacitor starts out uncharged. The resistance is R = 118 Ω, capacitance is C = 0.0647 F, and the battery emf is 16.7 V. What is the charge (Q) on the capacitor at a time of t = 3.72 seconds after the switch is closed?A capacitor of capacitance C = 5.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 12 kΩ, and a battery which provides a potential difference of VB = 45 V. 1. Calculate the time constant τ for the circuit in seconds. 2. After a very long time after the switch has been closed, what is the voltage drop VC across the capacitor in terms of VB? 3. Calculate the charge Q on the capacitor a very long time after the switch has been closed in C. 4. Calculate the current I a very long time after the switch has been closed in A. 5. Calculate the time t after which the current through the resistor is one-third of its maximum value in s. 6. Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C.
- Chapter 20, Problem 060 The drawing shows two circuits, and the same battery is used in each. The two resistances RA in circuit A are the same, and the two resistances Rg in circuit B are the same. Knowing that the same total power is delivered in each circuit, find the ratio Rg/RA for the circuits in the drawing. Rg RA RA Rg V V Circuit A Circuit B Rg/RA : = Number Units exact number, no toleranceYou make a circuit with a 15.4 V battery, a 27.0 kQ resistor, and a 693 µF capacitor in series. If the capacitor is initially uncharged, what will be the current in the circuit in milli amps (mA) at a time 11.1 seconds after you connect the circuit to the battery? (Enter answer as a number with 3 digits right of the decimal. Do not enter unit.) Question 1 of 2 > > A Moving to another question will save this response.The figure shows an ideal battery of emf 8 = 28 V, a resistor of resistance R = 6.6 02, and an uncharged capacitor of capacitance C = 5.7 μF. After switch S is closed, what is the current through the resistor when the charge on the capacitor is 9.2 µC? Number i Units HE Sm R < C