By using Kirchhoff's rules, find the current in R1, assuming R1 = 100 Ohms, R2 = 200 Ohms, R3-300 Ohms. Also, V1 =10V, V2= 20V and V3 =30V (you can ignore possible internal resistors in the batteries). V₁ R₁ www √₂ R M R₂

4) Gold wire Al = 10 m long cylindrical wire made of gold (resis- tivity pAu = 2.44 × 10¬8 Nm at To = 20° C, temperature coefficient aAu = 3.4 x 10-3 (°C)¯) has a resistance of R = 12. a: What is the radius r of the wire? b: If the wire is twice as long, the radius is ... 1. twice as big O 2. 2 larger O 3. a fourth O c: What is the resistance of the wire at T 1000° C? %3D

Problem: In the figure &₁ = 3.82 V, ₂ = 1.32 V, R₁ = 5.140, R₂ = 2.690, R3 = 3.610, and both batteries are ideal. What is the electric current in (a) R₁, (₁) (b) R₂. (1₂) and (c) R3, (13)? ww R₁ -18, ww R₂ Rs Ef

What is the ratio of the resistance of 10.0m of aluminum wire 2.2mnm in radius, to 24.Om of copper wire 1.8mm in radius (pA=2.65 x 108 Qm; Pcu=1.68 x 10 8Qm) ? O 1:2 O 1:3 O 3:1 2:1

Question 1 I= Part (a) I measure the resistance of this wire and find it to be R = 156 Q2. What is the resistivity of the material the wire is made out of? p=5.182 *10-4 p=5.182 x 10-4 ✓ Correct! Part (b) What is the conductivity of this wire, in inverse Ohms per meter? 1930. ✓ Correct! o=1929.8 Part (c) Part (c) Give an expression for the current density in the wire if an electric field E is passing through it. Write this in terms of the resistivity and the other variables in the problem. A particular wire has a length of L = 2.7 m and a circular cross-sectional area of radius r = 1.69 mm. X J= EL/Rar² x J= E/p Question 2 Correct Answer E-Pat sin()) cotan() atan() cosh() E-4.752x10 ✓ Correct! B 8 L P Student Final Submission E-Pat Part (b) How much energy has been used in joules? Y d h m 7 Part (d) Calculate the current in the wire, in milliamperes, if the field strength is 5.28 V/m. r cos() asin() acotan() sinh() tanh() cotanh() Degrees O Radians You leave a 110 W light bulb on for…

A platinum resistance thermometer (PRT) is a transducer which measures temperature 0 by means of consequent change of electrical resistance RT between its two terminals. Such a PRT has the following quadratic characteristic: RT=Ro [1+A0+BO^2] The PRT is calibrated so that its resistance is Ro = 100 Q at a reference temperature of 0 = 0°C. The coefficients have the following values: A = +4.0 x 10-3 °C-1 B = -5.0 x 10-6 oc-2 Determine sensitivity of this transducer at temperatures of +50 °C. Select one: O a. 0.45 Q/°C Ob. -0.45 Q/°C -0.35 Ω/ΟC d. 0.4 0/°C O e. 0.35 Q/°C O f. -0.4 0/PC

3. In Fig. 3, the resistances are R1 = 20.0 W and R2 = 40.0 W, and the ideal batteries have emfs E3=E1 = 10.0 V and E2 =  20.0 V. What is the potential difference Va - Vb? (Fig.3)  ) (Show step by step solution)

Two conductors are made of the same material. Length of conductor 1 is triple that of length of conductor 2. Conductor 1 is solid wire of radius D and conductor 2 is hollow tube of outside diameter 4D and inside diameter of 2D. Find the resistance ratio R1/R2 measured between their ends. O1 O 36 9.

A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ.    Part (a)  Express the resistance in terms of L, r, ρ.  R0 =   P L/π r2  This equation is incorrect      Part (b)  If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms?  Rρ =600   Part (c)  If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms?  Rl =    Part (d)  If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms?  Rr =

What is the steady-state current I, in units of Ampere, (steady-state current= current when you wait very very long time ) through 8V battery if you replace R1 resistor by 9 Ohm, R2 resistor by 14 Ohm, ɛ emf by 17 V. Your result must contain two decimal places. Maximum of 4% of error is accepted in your answer. R2 R1 3 V 4 µF