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Lostsunrise [7]
4 years ago
5

A 5.0-Ω resistor and a 9.0-Ω resistor are connected in parallel. A 4.0-Ω resistor is then connected in series with this parallel

combination. An ideal 6.0-V battery is then connected across the series-parallel combination of the three resistors.(a) What is the current through the 4.0-Ω resistor?
Physics
1 answer:
lbvjy [14]4 years ago
8 0
The 4ohm resistor is not parallel to any devices, so the current through it is the same as the total current through the circuit.

Apply I = V/R
I = total current, V = battery voltage, R = total resistance

Calculate the total resistance R of the circuit first.

R will be the sum of the 4ohm resistor and the resistance of the 5&9ohm parallel resistors. To find the resistance of the pair, you apply the “sum of inverses” rule:

R = 1/(1/5 + 1/9) = 3.21ohm

Now add the 4ohm resistor:
R = 3.21 + 4 = 7.21ohm

Now let’s calculate I = V/R:
Given values:
V = 6.0V
R = 7.21ohm
Plug in and solve for I:
I = 6.0/7.21

I = 0.83A
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Which type of bond shows two or more atoms sharing electrons?
kobusy [5.1K]
The answer to which type of bond shows two or more atoms baring electrons is B. Covalent
7 0
3 years ago
Two bulbs marked 200 W-250 V and 100 W-250 V are joined in
lozanna [386]

Answer:

<em>P = 66.67 W</em>

Explanation:

<u>Joule Heating</u>

It's the process by which the electric current passing through a conductor produces heat.

Also known as Joule's first law or the Joule–Lenz law, states that the power of heating generated by an electrical conductor (P) is proportional to the product of its resistance (R) and the square of the current (I).

It can be described by the equation that follows:

P = I^2.R

Also, we can calculate the voltage V with the formula of Ohm's law:

V = I.R

Combining both equations, power can be related to the voltage:

\displaystyle P=\frac{V^2}{R}

Given the power and the voltage, the resistance can be calculated by solving for R:

\displaystyle R=\frac{V^2}{P}

There are two bulbs marked P=200W V=250V and P=100 W V=250.

The first bulb has a resistance of:

\displaystyle R_1=\frac{250^2}{200}

\displaystyle R_1=312.5\Omega

The first bulb has a resistance of:

\displaystyle R_2=\frac{250^2}{100}

\displaystyle R_1=625\Omega

When connected in series, the total resistance is

R = R_1 + R_2=312.5\Omega+625\Omega

R=937.5\Omega

The total power consumed when connecting them to a V=250 V supply is:

\displaystyle P=\frac{250^2}{937.5}

P = 66.67 W

4 0
3 years ago
The coefficient of kinetic friction for a 22 kg bobsled on a track is 0.10. What force is required to push it down a 5.0 degree
frosja888 [35]

Hi there!

We must begin by converting km/h to m/s using dimensional analysis:

\frac{62km}{1hr} * \frac{1hr}{3600sec}*\frac{1000m}{1km} = 17.22 m/s

Now, we can use the kinematic equation below to find the required acceleration:

vf² = vi² + 2ad

We can assume the object starts from rest, so:

vf² = 2ad

(17.22)²/(2 · 75) = a

a = 1.978 m/s²

Now, we can begin looking at forces.

For an object moving down a ramp experiencing friction and an applied force, we have the forces:

Fκ  = μMgcosθ  = Force due to kinetic friction

Mgsinθ = Force due to gravity

A = Applied Force

We can write out the summation. Let down the incline be positive.

ΣF = A + Mgsinθ - μMgcosθ

Or:

ma = A + Mgsinθ - μMgcosθ

We can plug in the given values:

22(1.978) = A + 22(9.8sin(5)) - 0.10(22 · 9.8cos(5))

A = 46.203 N

6 0
3 years ago
A reciprocating compressor is a device that compresses air by a back-and-forth straight-line motion, like a piston in a cylinder
QveST [7]

Answer:

\Delta \theta = 47.57^{\circ} C

Explanation:

given,

moles of air compressed, n = 1.70 mol

initial temperature, T₁ = 390 K

Power supply by the compressor, P = 7.5 kW

Heat removed = 1.3 kW

Angular frequency of the compressor, f = 110 rpm = 110/60 = 1.833 rps.

Time of compression = time of the hay revolution

             =\dfrac{1}{2}\ T

             =\dfrac{1}{2}\times \dfrac{1}{f}

             =\dfrac{1}{2}\times \dfrac{1}{1.833}

             =0.273 s

Using first law of thermodynamics

U = Q - W

now,

\dfrac{\Delta U}{\Delta t} = \dfrac{\Delta Q}{\Delta t}- \dfrac{\Delta W}{\Delta t}

Power supplied \dfrac{\Delta W}{\Delta t} = 7.5 kW

heat removed \dfrac{\Delta Q}{\Delta t} = 1.3 kW

now,

\dfrac{\Delta U}{\Delta t} = 7.5 -1.3

\dfrac{\Delta U}{\Delta t} = 6.2 kW

we know,

\dfrac{\Delta U}{\Delta t}=\dfrac{nC_v\Delta \theta}{\Delta t}

 C_v for air = 5 cal/° mol

                   = 5 x 4.186 J/mol°C  = 20.93 J/mol°C

now,

\Delta \theta = \dfrac{\Delta U}{\Deta t}\times \dfrac{\Delta t}{n C_v}

\Delta \theta = 6.2\times 10^3 \times \dfrac{0.273}{1.7\times 20.93}

\Delta \theta = 47.57^{\circ} C

the temperature change per compression stroke is equal to 47.57°C.

4 0
3 years ago
A circular test track for cars has a circumference of 4.7 km. A car travels around the track from the southernmost point to the
Alika [10]
Well, for the distance traveled, the car goes from the northernmost point to the southernmost point. So, it travels half of the circle's circumference = 4.7/2 = 2.35 km.

For the displacement, by going from the northernmost point to the southernmost point, the car basically just travels the diameter of circle.

So, using the formula: Circumference = 2πr = <span>πd

Hence, the d = C/</span>π = 4.7/<span>π = 1.49605... = 1.5 km (2 significant figures)
Therefore, displacement = 1.5 km</span>
7 0
3 years ago
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