1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
3 years ago
11

The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasin

g as the resistor heats up. Use Ohm's Law, V = IR, to find how the current I is changing at the moment when R = 389 Ω, I = 0.03 A, dV/dt = −0.06 V/s, and dR/dt = 0.07 Ω/s. (Round your answer to six decimal places.)
Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

\frac{dI}{dt}=-0.00016 A/s

Step-by-step explanation:

We are given that

By ohm's law

V=IR

R=389 ohm

I=0.03 A

\frac{dV}{dt}=-0.06V/s

\frac{dR}{dt}=0.07ohm/s

We have to find rate of change of current I means \frac{dI}{dt}

Differentiate the equation w.r.t t

\frac{dV}{dt}=\frac{dI}{dt}R+I\frac{dR}{dt}

Substitute the values then we get

-0.06=\frac{dI}{dt}\times 389+0.03\times 0.07

-0.06=389\frac{dI}{dt}+0.0021

-0.06-0.0021=389\frac{dI}{dt}

-0.0621=389\frac{dI}{dt}

\frac{dI}{dt}=\frac{-0.0621}{389}=-0.000160 A/s

Hence, the current I is changing at the rate=-0.00016A/s

You might be interested in
What is the measure of angle 1?
Sonbull [250]

Answer:

angle 1 = 123°

Step-by-step explanation:

Here, angle 2 = 123° {being veritical opoosite angle}

so, angle 1 = angle 2 {being alternate angle}

so, angle 1 = 123°

4 0
3 years ago
Read 2 more answers
Five dogs were running in a race. Bandit completed the race 10 seconds after Sergeant and 30 seconds before Sally. Smokey comple
ipn [44]

Answer:

The Answer is D

Step-by-step explanation:

7 0
3 years ago
After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with
Cerrena [4.2K]

I'm going to out on a limb and say 16 in.

4 pieces * 4 in. = 16

5 0
3 years ago
What is the solution of -(x + 1) - 5 > 10
Pie
<span> -(x + 1) - 5 > 10
 -x - 1 - 5 > 10
 - x - 6 > 10
Add 6 to the both sides, 
-x - 6 + 6 > 10 + 6
-x > 16
x < -16  [ changed sign 'cause changed -sign ]

In short, Your Answer would be x < -16

Hope this helps!</span>
6 0
3 years ago
Read 2 more answers
May someone please help me with this
slega [8]
This is confusing trying PHOTOMATH
8 0
3 years ago
Other questions:
  • 247000 in standard form
    10·1 answer
  • What is the unit rate
    10·1 answer
  • PLEASE HURRY! The price of a wallet is $32.95 and the sales tax is 7.5%. What is the total cost of the wallet?
    13·1 answer
  • How many kilometers they traveled by bike
    7·1 answer
  • Answer asap, plzzz.( its in the picture)
    7·1 answer
  • Write an equation that represents the line.
    5·1 answer
  • Which of the following expressions is a polynomial?
    10·1 answer
  • The diameter of a circle is 34 feet. What is the circle’s area?<br><br> Use 3.14 as pi
    11·1 answer
  • What is the reciprocal of 159?
    13·1 answer
  • If the radius of a circle is doubled, how does the area of the circle change?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!