А 4.0 Ω resistor is connected with a 12 Ω resistor and both of these are connected across a power supply with voltage V. If the total current in this circuit is I = 2.0 A, what is the current through the 4.0 Ω resistor? 2.0 A О 2.5 А
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- Check Your Understanding Copper wires use routinely used for extension cords and house wiring for several reasons. Copper has the highest electrical conductivity rating, and therefore the lowest resistivity rating, of all nonprecious metals. Also important is the tensile strength, where the tensile strength is a measure of the force required to pull an object to the point where it breaks. The tensile strength of a material is the maximumamount of tensile stress it can take before breaking. Copper has a high tensile strength, 2108Nm2 A thirdimportant characteristic is ductility. Ductility is a measure of a material’s ability to be drawn into wires and a measure of the flexibility of the material, and copper has a high ductility. Summarizing, for a conductor to be a suitable candidate for making wire, there are at least three important characteristics: low resistivity, high tensile strength, and high ductility. What other materials are used for wiring and what are the advantages and disadvantages?Check Your Understanding Verify that /V and e0/d have the same physical units.A Pb wire wound in a tight solenoid of diameter of 4.0 mm is cooled to a temperature of 5.0 K. The wire is connected in series with a 50resistor and a variable source of emf. As the emf is increased, what value does it have when the superconductivity of the wire is destroyed?
- Suppose you have a rod of pure silicon with a diameter of 2.79cm and a length of 20.6cm. These rods are often used in experiments, such as the Large Hadron Collider in France/Switzerland to detect high-energy particles, and they have a very high resistivity of 2300Ω⋅m. What current, in amperes, flows through the rod when a potential difference of 1.23* 10^3 V is applied between its ends ?Find the equivalent resistance of the network in the circuit and the current in eachresistor. The source of emf has negligible internal resistance. R1= 4 Ω, R2= 6 Ω, and R3= 3 Ω. Round off in nearest hundredths.1. RT = ________2. IT = ________ 3. I1 = ________ 4. I2 = ________ 5. I3 = ________ 6. V1 = ________7. V2 = ________ 8. V3 = ________What would the Hall voltage be (in µV) if a 2.40 T field is applied across a 13-gauge copper wire (1.829 mm in diameter) carrying a 22.0 A current? (Assume the free charge density of copper is 8.342 ✕ 1028 e−/m3.)
- A copper wire of 3.2 mm in diameter and 4 m length carries a certain amount of current. The conductionelectron density in copper is 8.49x1028 electrons/m3. A 75.0-Ω resistor is connected with the copper wireto the terminals of a battery whose emf is 11.0 V and whose internal resistance is 0.8 Ω. Calculate (a) thecurrent in the circuit, (b) the current density in the wire, (c) the terminal voltage of the battery, Vab, and (d)the power dissipated in the resistor R, (e) the power dissipated in the battery’s internal resistance r, (f) the resistivity of the wire, (g) the drift velocity of the free electrons, and (h) Estimate the rms speed ofelectrons assuming they behave like an ideal gas at 20°C. Assume that one electron per Cu atom is free tomove (the others remain bound to the atom).What current flows through a 2.54-cm-diameter rod of pure silicon that is 20.0 cm long, when 1.00 × 103 V is applied to it? (Such a rod may be used to make nuclearparticle detectors, for example.)The 12-gauge copper wire in a typical residential buildinghas a cross-sectional area of 3.31 # 10$6 m2. If it carries acurrent of 10.0 A, what is the drift speed of the electrons?Assume that each copper atom contributes one freeelectron to the current. The density of copper is 8.95 g/cm3.
- If the density and atomic mass of copper are respectively 8.80 103 kg/m3 and 63.5 kg/kmol (note that 1 kmol = 1,000 mol), and copper has one free electron per copper atom, determine the following. (a) the drift speed of the electrons in a 10 gauge copper wire (2.588 mm in diameter) carrying a 30.5 A current m/s(b) the Hall voltage if a 1.18 T field is applied perpendicular to the wire VTwo 3.8microF capacitors, two 2.2kohms resistors and a 16.0V source are connected in series. Starting from the uncharged state, how long does it take for the current to drop from its initial value to 1.50 mAwhat is the drift speed of the electrons?Assume that each copper atom contributes one freeelectron to the current. The density of copper is 8.95 g/cm3