Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
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A: Given data: C1=2.0 μF C2=1.5 μF C3=3.0 μF Voltage, V=12 V Since, C1 and C3 are in parallel,…
Q: What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: C2 and C3 are in series soC'=C2 C3C2 + C3=(15 μF)30 μF 15 μF+30 μFC'=10 μFnow, C' and C1 are in…
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Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: C1 IS PARALLEL WITH C2 and C3 SO potential drop across C1 , C2 and C3 will be equal = 67.5…
Q: What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
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Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 uF, C3 = 30 µF, and…
A: Given: The capacitance of capacitors are, C1=5.0 μFC2=15 μFC3=30 μF E.M.F. of battery Vo=19.9 volt
Q: What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: C1 = 5μFC2 = 15μFC3 = 30μF Vo = 60.1 volts C2 and C3 are in series , their equivalent capacitance is…
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Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
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Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: C1= 5 uF C2= 10 uF C3=15 uF Vo=90.8 volts
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Q: What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: Qeq= equivalent charge Ceq= equivalent capacitance Veq= equivalent potential difference Step 1)…
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Q: What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
A: C1= 5.0 μF, C2= 15 μF, C3= 30 μF, and V0= 22.8 V
Q: What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and…
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- In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region? (a) It is zero, (b) It does not vary with position. (c) It is positive. (d) It is negative. (e) None of those answers is necessarily true.Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.(a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function of R. (b) Evaluate the charge when R = 10.0 . (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (c) Is it experimentally meaningful to take R = ? Explain your answer. If so, what charge magnitude does it imply? Figure P27.46
- Figure 21.55 shows how a bleeder resistor is used to discharge a capacitor after an electronic device is shut off allowing a person to work on the electronics with less risk of shock, (a) What is the time constant? (b) How long will it take to reduce the voltage on the capacitor to 0.250% (5% of 5%) of its full value once discharge begins? (c) If the capacitor is charged to a voltage V0through a 100-O resistance, calculate the time it takes to rise to 0.865V0(This is about two time constants.)A circuit contains a D-cell battery, a switch, a 20- resistor, and three 20-mF capacitors. The capacitors are connected in parallel, and the parallel connection of capacitors are connected in series with the switch, the resistor and the battery, (a) What is die equivalent capacitance of the circuit? (b) What is the KC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?A Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.
- An oceanographer is studying how the ion concentration in seawater depends on depth. She makes a measurement by lowering into the water a pair of concentric metallic cylinders (Fig. P21.66) at the end of a cable and taking data to determine the resistance between these electrodes as a function of depth. The water between the two cylinders forms a cylindrical shell of inner radius ra, outer radius rb, and length L much larger than rb. The scientist applies a potential difference V between the inner and outer surfaces, producing an outward radial current I. Let represent the resistivity of the water. (a) Find the resistance of the water between the cylinders in terms of L, , ra, an rb. (b) Express the resistivity of the water in terms of the measured quantities L, ra, rb, V, and I. Figure P21.66A 4.00-pF is connected in series with an 8.00-pF capacitor and a 400-V potential difference is applied across the pair, (a) What is the charge on each capacitor? (b) What is the voltage across each capacitor?Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.
- (a) What is the potential difference going from point a to point b in Figure 21.47? (b) What is the potential difference going from c to b? (c) From e to g? (d) From e to d?If three unequal capacitors, initially uncharged, are connected in series across a battery, which of the following statements is true? (a) The equivalent capacitance is greater than any of the individual capacitances, (b) The largest voltage appeal's across the smallest capacitance, (c) The largest voltage appears across the largest capacitance. (d) The capacitor with the largest capacitance has the greatest charge, (e) The capacitor with the smallest capacitance has the smallest charge.Figure P18.26 shows a voltage divider, a circuit used to obtain a desired voltage Vout from a source voltage . Determine the required value of R2 if = 5.00 V, Vout = 1.50 V and R1 = 1.00 103 (Hint: Use Kirchhoff's loop rule, substituting Vout = IR2, to find the current. Then solve Ohms law for R2. Figure P18.26