b) The resistance R of a conductor depends on its shape and physical dimensions and a property of the material called the resistivity p. i) What does the resistivity of a material depend upon? ii) Assuming that the resistivity of copper is a quarter of that of aluminium and that the density of copper is three times that of aluminimium, find the ratio of the masses of copper and aluminium wires with the same length and the same resistance but with different cross-sectional areas.

1. A block made of a material with a resistivity p, has length L and its cross section is square with side dimensions decreasing linearly (from a to b). Assume that the current density is uniform across any cross section taken perpendicular to the length. a a) Find the resistance of the block. b) Verify that for a = b, you recover the resistance for a prism (R=PE) c) What is the rate of the energy dissipated as thermal energy on this resistor if it is connected to a potential difference of V across its terminals? A a L [Give your answers in terms of p, a, b, L, V]

A (20.1 +/-0.2) ohms resistor is connected in parallel with a (39.9 +/- 0.4) ohm resistor. THe resistors are connected to a (2.90+/-0.3)V battery. a) Find the equivalent resistance (including uncertainty). b) Calculate the toal current in the circuilt (including uncertainty) c) Determine the value of the current in each branche of the circuit (including uncertainty).   A image is included to the question.

What is the resistance (in units of 2) of a wire made of a material with a resistivity of 3.2 x 10-8.m, if its length is 49.1 m and its diameter is 0.50 mm? Solect ono:

Resistivity of silver is less than that of tungsten. If a tungsten wire and a silver wire are having the same length and area of cross section, which of the following statements is true? Oa. Resistance of the tungsten wire is more than that of the silver wire O b. Resistance of the tungsten wire is less than that of the silver wire Oc Both wires are having the same resistance O d. From the given information, a conclusion cannot be made

b) An aluminum wire 7.5m long is connected in parallel with a copper wire 6m long. When a current of 5A is passed through the combination, it is found that the current in the aluminum wire is 3A. If the diameter of the aluminum wire is 1mm, determine the diameter of the copper wire. Assume the resistivity of copper to be 0.017µ2m and that of aluminum to be 0.028 uQm. c). Calculate the current I that will flow through the circuit shown below if the entire arrangement is connected to 12V power supply. 15 2 15 2 15 2 15 2 15 2 15 2 d) plates, with A parallel plate capacitor is made from 25 70 mm by 120mm relative each interleaved mica of permittivity 5. If the capacitance of the capacitor is 3000 pF determine the thickness of the mica sheet.

Determine the length e and diameter d of a cylinder of copper in terms of the volume "V" , resistivity "p" , and resistance between pposite ends "r".

We have a copper conductor, length l = 1m and circular section of diameter d = 4mm a) Calculate the resistance of the conductor between its ends. b) If a current of 1 amp flows through said conductor: I) Calculate the drag speed of the electrons. II) calculate the number of electrons per second that cross the conductor section. Data: resistivity of copper PCu = 1.7 × 10-8 -8 ampere m: numerical density of charge carriers [nCu] = 8.5 × 1028 atoms m-3: resistivity of aluminum p Al = 2.8 × 10-8 ampere m elemental load = 1.6x10-19 C

a) What is meant by the "resistance of a conductor"? Write the relation between resistance, potential difference, and current. b) When a 12V battery is connected across an unknown resistor, there is a current of 2.5mA in the circuit. Calculate the value of the resistance of the resistor.

The radius of a piece of Nichrome wire is 0.306 mm. (Assume the wire's temperature is 20°C.) (a) Calculate the resistance per unit length of this wire. SOLUTION Conceptualize This table shows that Nichrome has a resistivity two orders of magnitude larger than the best conductors in the table. Therefore, we expect it to have some special practical applications that the best conductors may not have. Categorize We model the wire as a ---Select--- 0 so that a simple geometric analysis can be applied to find the resistance. Analyze Use this equation and the resistivity of Nichrome to find the resistance per unit length (in N/m): %3D Ω/m %3D A (b) If a potential difference of 10 is maintained across a 1.0 m length of the Nichrome wire, what is the current in the wire? SOLUTION Analyze Use this equation to find the current (in A): Δν I = A %3D Finalize Because of its high resistivity and resistance to oxidation, Nichrome is often used for heating elements in toasters, irons, and electric…