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Artist 52 [7]
3 years ago
15

What is the total resistance of a parallel circuit that has two loads? Load one has a resistance of 10 ohms. Load two has a resi

stance of 24 ohms. (YOU MUST SHOW YOUR WORK)!!

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

The total resistance is 7.0588\Omega

Step-by-step explanation:

Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: R_1=10\Omega and R_2=24\Omega.

First step: find the total current

For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors (R_1 and R_2).

  • I_{R_1}=\frac{V_S}{R_1}
  • I_{R_2}=\frac{V_S}{R_2}

The total current is:

I_{TOTAL}=I_{R_1}+I_{R_2}=\frac{V_S}{R_1}+\frac{V_S}{R_2}=\frac{R_2\cdot V_S+R_1\cdot V_S}{R_1\cdot R_2}

I_{TOTAL}=V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}

Now, the total resistance (R_{TOTAL}) would be the voltage divided by the total current:

R_{TOTAL}=\frac{V_S}{I_{TOTAL}}

If you replace I_{TOTAL} by the expression obtained previously, the total resistance would be:

R_{TOTAL}=\frac{V_S}{V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}}

After simplifying the terms you should get:

R_{TOTAL}=\frac{R_1\cdot R_2}{R_1 + R_2}}

Now, you must replace the values of the resistors:

R_{TOTAL}=\frac{(10\Omega )\cdot (24\Omega)}{10\Omega + 24\Omega}}=\frac{120}{17}\Omega=7.0588\Omega

Thus, the total resistance is 7.0588\Omega

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Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby
Ipatiy [6.2K]

Answer:

The rate of change is 8

Step-by-step explanation:

put the 16 as the numerator then the 2 hours as the denominator then divide by 2 to get you 8 dollars for 1 hour

8 0
3 years ago
There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co
artcher [175]

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2

From equation 1:

x = 740-y

Putting in equation 2

9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50

Subtracting 7030 from both sides

7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5

Dividing both sides by -1.5

\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365

Putting y = 365 in equation 1

x+365 = 740\\x = 740 - 365\\x = 375

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

3 0
3 years ago
An airplane travels 290 km between Austin and Dallas in 1 h 15 min. What is it’s average speed?
aniked [119]

The average speed of the plane between Austin and Dallas is 232 kmph

<u>Solution:</u>

Given that,

Total distance traveled by airplane = 290 km

Time taken for travel between Austin and Dallas = 1 hour 15 minute

Let us convert the time taken to hours

\begin{array}{l}{1 \text { minute }=\frac{1}{60} \text { hours }} \\\\ {15 \text { minutes }=\frac{15}{60}=\frac{1}{4}} \\\\ {\text { 1 hour } 15 \text { minutes }=1 \frac{1}{4} \text { hours }=\frac{1 \times 4+1}{4}=\frac{5}{4} \text { hours }}\end{array}

<em><u>The average speed is given as:</u></em>

\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}

Plugging in the values, we get,

\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232

Hence the average speed is 232 kmph

6 0
3 years ago
For what values of θ is sinθ &lt; cosθ when 0 ≤ θ &lt; π ?
zysi [14]
<h3>Answer:  0 \le \theta < \frac{\pi}{4}</h3>

=========================================================

How to get this answer:

Use the unit circle to note that \sin\theta = \cos\theta = \frac{\sqrt{2}}{2} when \theta = \frac{\pi}{4} (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point \left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)

-------------------------------

Here's a more detailed picture of whats going on.

\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\

Intersect the intervals 0 \le \theta < \pi and \theta < \frac{\pi}{4} and you'll end up with the final answer 0 \le \theta < \frac{\pi}{4}

4 0
3 years ago
What is 3.2 subtracted by 4?
faltersainse [42]
All you do is subtract 3.2 from the number 4 and you get the number -0.8
5 0
3 years ago
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