Material with uniform resistivity ρ is formed into a wedge as shown in Figure P27.84. Show that the resistance between face A and face B of this wedge is
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- The resistance between terminals a and b in Figure P27.36 is 75.0 . If the resistors labeled R have the same value, determine R. Figure P27.36arrow_forwardA battery is used to charge a capacitor through a resistor as shown in Figure P27.44. Show that half the energy supplied by the battery appears as internal energy in the resistor and half is stored in the capacitor. Figure P27.44arrow_forwardA battery is used to charge a capacitor through a resistor as shown. Show that half the energy supplied by the battery appears as internal energy in the resistor and half is stored in the capacitor.arrow_forward
- You are working with an oceanographer who is studying how the ion concentration in seawater depends on depth. She shows you the device that she uses to measure the resistivity of water from a boat. It consists of a pair of concentric metallic cylinders at the end of a cable (as shown). Seawater flows freely between the two cylindrical shells. She makes a measurement by lowering the device into the water and applying a potential difference ΔV between the inner and outer cylinders. This produces an outward radial current I in the seawater between the shells. She shows you the current and voltage data for the water at a particular depth and is then called away to answer a long call on her cellphone about a laboratory issue back on the mainland. As she leaves, she says, “Have the resistivity of the water calculated when I get back.” She forgot to show you any tables or formulas to use to determine the resistivity, so you are on your own. Quick! Find an expression for the resistivity in…arrow_forwardThe circuit in Figure P27.41 contains two resistors, R1 = 2.00 kΩ and R2 = 3.00 kΩ, and two capacitors, C1 = 2.00 μF and C2 = 3.00 μF, connected to a battery with emf ε = 120 V. If there are no charges on the capacitors before switch S is closed, determine the charges on capacitors (a) C1 and (b) C2 as functions of time, after the switch is closed.arrow_forwardAsap plzzarrow_forward
- A wire has a diamter of D=0.65 cm and is L=6.5 m long. When connected to a V=14 V source the wire passes a I=55 A current. a. what is the wire's resistivity in Ω*m?arrow_forwardConsider the three resistors R1 = 12 0, R2= 39 0, and R3= 78 Q in the configuration shown in the figure. A potential difference AV= 1.5 Vis applied between A and B. A. Calculate the numerical value of 12 in A. B. Calculate the numerical value of 13 through R3. R2 A R1 В R3arrow_forwardThe emf source, E. of the circuit shown in the figure has negligible internal resistance. The resistors have resistances R= 6.62 and R,=4.92. The capacitor has a capacitance C 13.4 uF When the capacitor is fully charged, the magnitude of the charge on its plates is Q 17.1 uC. What is E in units of Volts? R2 O 4.4 O 2.2 R1 O 3.1 O 0.22 O 1.1arrow_forward
- Three resistors R, = 82.7 N, R, = 24.2 2, R2 = 70.0 N, and two batteries E, = 40.0 V, and Ɛ, = 351 V are connected as shown in the diagram below. %3D R1 R2 R3 (a) What current flows through R R21 and R,? A A I2 I3 A (b) What is the absolute value of the potential difference across R,, R2, and R,? V = V V ww ww wwarrow_forwardThe resistance of a very fine aluminum wire with a 13 μm × 13 μm square cross section is 700 Ω . A 700 Ω resistor is made by wrapping this wire in a spiral around a 3.3-mm-diameter glass core. How many turns of wire are needed?arrow_forwardN05arrow_forward
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