Question

can someone please give detailed explanation in long hand form so that I can double check my work.

Answer all questions in the space provided for each problem, label all parts show equation, substitution (with units), and answer (with units, scientific notation, rounded to 3 significant figures) 1. A 10 ohm and a 1.1. 15-ohm resistor are connected in series to a 5 V battery. Find the following a. The total resistance. (5 points) b. The total current in the circuit. (5 points) c. The total power supplied by the battery. (5 points) d. the voltage across the 10 ohm resistor. (5 points) e. A 0.5 m long wire has a current of 3 A and is perpendicular to a 0.02 T magnetic field. Find the magnitude of the force on the wire. (5 points)

Answer 1

The given details are

R₁ = 10 ohm

R₂ = 15 ohm

Supply Voltage , V= 5 V

The resistors are in series

(a) The total resistance

R = R₁ + R₂

R = 10 + 15

R = 25 ohm

(b) The total current in the circuit

By ohms law

V = IR

Current, I = V/R

I = 5/25

I = .2 A

(c) Total power supplied by the battery

P = VI

P = 5 * .2

P = 1 watt

(d) Voltage across the 10 ohm resistor

That is voltage drop in 1o ohm resistor

V_R1 = IR₁

   V_R1 = .2 *10

V_R1 = 2 V

(e) The given details are

Length of the wire , L = .5m

Current through the wire, I= 3 A

Magnetic field, B = .02 T

Given that current and magnetic field are perpendicular

that is  $\Theta$ = 90^o

magnetic force due to a current carrying wire is given by

F = ILB sin$\Theta$

F = (3*.5*.02) sin90^o

F = .030 N