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Condition |
free/or 0.5$ |
| 761 | Find the capacitance of an infinite circuit formed by the repetition of the same link consisting of two identical capacitors, each with capacitance C (Fig. 3.20). |
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| 762 | A circuit has a section AB shown in Fig. 3.21. The emf of the source equals ξ = 10 V, the capacitor capacitances are equal to C1 = 1.0 μF and C2 = 2.0 μF, and the potential difference φA - φB = 5.0 V. Find the voltage across each capacitor. |
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| 763 | In a circuit shown in Fig. 3.22 find the potential difference between the left and right plates of each capacitor. |
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| 764 | Find the charge of each capacitor in the circuit shown in Fig. 3.22. |
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| 765 | Determine the potential difference φA - φB between points A and B of the circuit shown in Fig. 3.23. Under what condition is it equal to zero? |
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| 766 | A capacitor of capacitance C1 = 1.0 μF charged up to a voltage V = 110 V is connected in parallel to the terminals of a circuit consisting of two uncharged capacitors connected in series and possessing the capacitances C2 = 2.0 μF and C3 = 3.0 μF. What charge will flow through the connecting wires? |
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| 767 | What charges will flow after the shorting of the switch Sw in the circuit illustrated in Fig. 3.24 through sections 1 and 2 in the directions indicated by the arrows? |
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| 768 | In the circuit shown in Fig. 3.25 the emf of each battery is equal to ξ = 60 V, and the capacitor capacitances are equal to C1 = 2.0 μF and C2 = 3.0 μF. Find the charges which will flow after the shorting of the switch Sw through sections 1, 2 and 3 in the directions indicated by the arrows. |
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| 769 | Find the potential difference φA - φB between points A and B of the circuit shown in Fig. 3.26. |
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| 770 | Determine the potential at point 1 of the circuit shown in Fig. 3.27, assuming the potential at the point 0 to be equal to zero. Using the symmetry of the formula obtained, write the expressions for the potentials. at points 2 and 3. |
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| 771 | Find the capacitance of the circuit shown in Fig. 3.28 between points A and B. |
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| 772 | Determine the interaction energy of the point charges located at the corners of a square with the side a in the circuits shown in Fig. 3.29. |
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| 773 | There is an infinite straight chain of alternating charges q and -q. The distance between the neighbouring charges is equal to a. Find the interaction energy of each charge with all the others. Instruction. Make use of the expansion of ln (1 + a) in a power series in a. |
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| 774 | A point charge q is located at a distance l from an infinite conducting plane. Find the interaction energy of that charge with chose induced on the plane. |
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| 775 | Calculate the interaction energy of two balls whose charges q1 and q2, are spherically symmetrical. The distance between the centres of the balls is equal to L. Instruction. Start with finding the interaction energy of a ball and a thin spherical layer. |
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| 776 | A capacitor of capacitance C1 = 1.0 μF carrying initially a voltage V = 300 V is connected in parallel with an uncharged capacitor of capacitance C2 = 2.0 μF. Find the increment of the electric energy of this system by the moment equilibrium is reached. Explain the result obtained. |
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| 777 | What amount of heat will be generated in the circuit shown in Fig. 3.30 after the switch Sw is shifted from position 1 to position 2? |
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| 778 | What amount of heat will be generated in the circuit shown. in Fig. 3.31 after the switch Sw is shifted from position 1 to position 2? |
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| 779 | A system consists of two thin concentric metal shells of radii R1 and R2 with corresponding charges q1 and q2. Find the self-energy values W1 and W2 of each shell, the interaction energy of the shells W12, and the total electric energy of the system. |
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| 780 | A charge q is distributed uniformly over the volume of a ball of radius R. Assuming the permittivity to be equal to unity, find: (a) the electrostatic self-energy of the ball; (b) the ratio of the energy W1 stored in the ball to the energy W2 pervading the surrounding space. |
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