Physics, 09.10.2019 01:40 natie18

Stu wanted to calculate the resistance of a light bulb connected to a 4.0-v battery, with a resulting current of 0.5 a. he used the formula r = vi and obtained an answer of 2 . was stu’s answer correct? how do you know?

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Answer from: tia5520

Applying Ohm's law, the resistance of the light bulb is 8 Ohms and Stu’s answer was incorrect.

Given the following data:

Voltage = 4.0 VoltsCurrent = 0.5 Amperes

To calculate the resistance of the light bulb, we would apply Ohm's law:

Ohm's law states that at constant temperature, the current flowing through an electrical circuit is directly proportional to the voltage applied across the two terminals of the circuit and it's inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

V = IR

Where;

V is voltage measured in Volts.I is current measured in Amperes.R is resistance measured in Ohms.

Making resistance (R) the subject of formula:

$R = \frac{V}{I}$ (Obviously, Stu was wrong with the formula he used)

Substituting the given parameters into the formula, we have;

$R = \frac{4}{0.5}$

Resistance, R = 8 Ohms.

Therefore, the resistance of the light bulb is 8 Ohms.

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Answer from: freebyyy7032

no, Stu's answer was incorrect.

Explanation:

The correct formula that relates current, resistance and voltage in a circuit is given by Ohm's law:

V=RI

$R=\frac{V}{I}$

where

V is the voltage in the circuit

I is the current

R is the resistance

In this circuit, the voltage is V=4.0 V, and the current is I=0.5 A, therefore the resistance of the circuit is

$R=\frac{V}{I}=\frac{4.0 V}{0.5 A}=8 \Omega$

Answer from: Quest

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

Answer from: Quest

For me a person with a phd and who knows what there talking about.i know the chances of a radiation leak is low but if it does the area within a 96.3 mile radius would be unusable because of contamination

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