<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cmathrm%7Bquestion%20%5Chookleftarrow%7D%7D" id="TexFormula1" title=" \huge{

All categories

2 years ago

\mathrm{question \hookleftarrow}}" alt=" \huge{ \mathrm{question \hookleftarrow}}" align="absmiddle" class="latex-formula">
Calculate equivalent resistance of two resistors R1 and R2 in parallel where,

$\sf R_ 1 = (6 \pm0.2 )\: \: ohms$
$\sf R_ 2 = (3 \pm0.1 )\: \: ohms$

Physics

2 answers:

gulaghasi [49]2 years ago

7 0

Answer:

Let R is the equivalent resistance for parallel combination and ΔR is the error(in its measurement respective to the error in the values of resistors)

Hence,

R/1 =1/R¹ + 1/R

R/1 = R¹+R²/R¹+ R²

R= 3+6/3×6

∴R=2Ω

Now,

Δ R /R²=ΔR¹/ (R 1 )²+ΔR²+ (R2)²

ΔR /R²=0.1/(3) +0.5(6)²

ΔR = 4

0.1ΔR=0.1

Hence the resistance of the combination is

R=(2.00±0.1)Ω

lakkis [162]2 years ago

5 0

Answer:

For a parallel circuit with two resistors, the total resistance is calculated from the expression:

For a parallel circuit with two resistors, the total resistance is calculated from the expression:1/R=1/R1+1/R2

For a parallel circuit with two resistors, the total resistance is calculated from the expression:1/R=1/R1+1/R2We are given the total resistance, R, which is 20 ohms and R2 which is 75 ohms. We calculate R1 as follows:

Explanation:

I think this is your answer hope it will help you have a great day bye :)

You might be interested in

Which one of the statements below is true about mechanical waves?

TEA [102]

They require a medium to travel through

5 0

2 years ago

A guitar player tunes the fundamental frequency of a guitar string to 560 Hz. (a) What will be the fundamental frequency if she

lawyer [7]

Answer:

(a) if she increases the tension in the string is increased by 15%, the fundamental frequency will be increased to 740.6 Hz

(b) If she decrease the length of the the string by one-third the fundamental frequency will be increased to 840 Hz

Explanation:

(a) The fundamental, f₁, frequency is given as follows;

$f_1 = \dfrac{\sqrt{\dfrac{T}{\mu}} }{2 \cdot L}$

Where;

T = The tension in the string

μ = The linear density of the string

L = The length of the string

f₁ = The fundamental frequency = 560 Hz

If the tension in the string is increased by 15%, we will have;

$f_{(1 \, new)} = \dfrac{\sqrt{\dfrac{T\times 1.15}{\mu}} }{2 \cdot L} = 1.3225 \times \dfrac{\sqrt{\dfrac{T}{\mu}} }{2 \cdot L} = 1.3225 \times f_1$

$f_{(1 \, new)} = 1.3225 \times f_1 = (1 + 0.3225) \times f_1$

$f_{(1 \, new)} = 1.3225 \times f_1 =\dfrac{132.25}{100} \times 560 \ Hz = 740.6 \ Hz$

Therefore, if the tension in the string is increased by 15%, the fundamental frequency will be increased by a fraction of 0.3225 or 32.25% to 740.6 Hz

(b) When the string length is decreased by one-third, we have;

The new length of the string, $L_{new}$ = 2/3·L

The value of the fundamental frequency will then be given as follows;

$f_{(1 \, new)} = \dfrac{\sqrt{\dfrac{T}{\mu}} }{2 \times \dfrac{2 \times L}{3} } =\dfrac{3}{2} \times \dfrac{\sqrt{\dfrac{T}{\mu}} }{2 \cdot L} = \dfrac{3}{2} \times 560 \ Hz = 840 \ Hz$

When the string length is reduced by one-third, the fundamental frequency increases to one-half or 50% to 840 Hz.

6 0

3 years ago

A force of 30n is applied to a screwdriver to pry the lid off of a can of paint. The screwdriver applies 75n of force to the lid

gizmo_the_mogwai [7]

The mechanical advantage of the screwdriver that is being described above is equal to 75N. This means that for every 30N that is applied on the screwdriver, this simple machine would in turn apply 75N of force to the lid of the can.

3 0

3 years ago

At an amusement park, a 7.00 kg swimmer uses a water slide to enter the main pool. The swimmer starts at rest, slides without fr

telo118 [61]

Answer:

27.44 J

Explanation:

We can find the energy at the top of the slide by using the potential energy equation:

PE = mgh

At the top of the slide, the swimmer has 0 kinetic energy and maximum potential energy.

The swimmer's mass is given as 7.00 kg.

The acceleration due to gravity is 9.8 m/s².

The (vertical) height of the water slide is 0.40 m.

Substitute these values into the potential energy equation:

PE = (7.00)(9.8)(0.40)
PE = 27.44

Since there is 0 kinetic energy at the top of the slide, the total energy present is the swimmer's potential energy.

Therefore, the answer is 27.44 J of energy when the swimmer is at the top of the slide.

6 0

3 years ago

explain why for thousands of years people believed that stars moved across Earth's sky. Explain why we now have a different expl

Anarel [89]

Answer:

Ptolemy proposed a model, he reference system is centered on the Earth

Copernicus, proposed a deferent system, this system is centered on the Sun, where it is at the origin of the system

Explanation:

Thousands of years ago, Ptolemy proposed a model to explain the movement of the planets and stars in the sky, in this model the reference system is centered on the Earth, so each body is orbiting in different spheres around the Earth as its center, this system had very complicated calculations and curves to be able to explain the orbits of the planets.

More recently Copernicus, proposed a deferent system, this system is centered on the Sun, where it is at the origin of the system, in this system the movement of the planets are ellipses, which is a much simpler explanation and has been widely accepted, in current systems the reference system is fixed in the bodies more massive, since this simplifies the explanation of the movements.

6 0

3 years ago