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algol13
3 years ago
10

A horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length of 0.11 m and a mass of 0.01

0 kg. A uniform magnetic field of magnitude 0.055 T is directed from the ceiling to the floor. When a current of I = 29 A exists in the wire, the wire swings upward and, at equilibrium, makes an angle φ with respect to the vertical, as the drawing shows. Find (a) the angle and (b) the tension in each of the two strings.
Physics
1 answer:
AnnZ [28]3 years ago
5 0

Answer:

Explanation:

The magnetic force acting horizontally will deflect the wire by angle φ from the vertical

Let T be the tension

T cosφ = mg

Tsinφ = Magnetic force

Tsinφ = BiL  , where B is magnetic field , i is current and L is length of wire

Dividing

Tanφ = BiL / mg

= .055 x 29 x .11 / .010 x 9.8

= 1.79

φ = 61° .

Tension T = mg / cosφ

= .01 x 9.8 / cos61

= .2 N .

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5 0
3 years ago
Read 2 more answers
(a) You short-circuit a 20 volt battery by connecting a short wire from one end of the battery to the other end. If the current
erica [24]

(a) 1.11 \Omega

When the battery is short-cut, the only resistance in the circuit is the internal resistance of the battery. Therefore, we can apply Ohm's law:

r=\frac{V}{I}

where

V = 20 V is the voltage across the internal resistance of the battery

I = 18 A is the current flowing through it

Solving the equation,

r=\frac{20 V}{18 A}=1.11\Omega

(b) 360 W

The power generated by the battery is given by the equation

P=VI

where

V = 20 V is the voltage of the battery

I = 18 A is the current

Substituting into the formula,

P=(20 V)(18 A)=360 W

(c) 360 J

The energy dissipated by the internal resistance is given by

E=Pt

where

P = 360 W is the power generated

t = 1 s is the time

Solving the equation, we find

E=(360 W)(1 s)=360 J

(d) 1.65 A

The battery is now connected to a R=11 \Omega resistor. This means that the internal resistance of the battery is now connected in series with the other resistor R: so, the total resistance of the circuit is

R_T = r+R=1.11 \Omega +11 \Omega = 12.11 \Omega

And so, the current flowing through the circuit is

I=\frac{V}{R_T}=\frac{20 V}{12.11\Omega}=1.65 A

(e) 29.9 W

The power dissipated in the external resistor is given by

P=I^2 R

where

I = 1.65 A is the current

R=11 \Omega is the resistance

Solving the equation, we find

P=(1.65 A)^2(11 \Omega)=29.9 W

(f) 18.17 V

The terminals of the voltmeter are placed at the two end of the battery. The battery provides an emf of 20 V, however due to the internal resistance, some of this voltage is dropped across the internal resistance. Therefore, the actual potential difference that will be read by the voltmeter will be:

V=\epsilon - Ir =20 V -(1.65 A)(1.11 \Omega)=18.17 V

4 0
3 years ago
Describe why wearing a long-sleeved white T-shirt can help you feel cooler on a hot day than wearing a short-sleeved black T-shi
MAVERICK [17]

Answer:

Explanation:

In a white T-shirt its is not as dark of a color as black so when the sun hits it you won't get hot as much or as quick. If you wear a back shirt you will most likely be hotter because since it is a darker color when the sun hits it it make you hotter and you heat up quicker. You still might feel hot in a white T-shirt because long sleeve shirts trap in your body heat making you hotter because the heat has nowhere else to go.

3 0
3 years ago
A student made the table shown to list some contact and non-contact forces. Examples of Forces Contact Forces Non-Contact Forces
aleksandr82 [10.1K]

Answer:

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Explanation:

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3 years ago
Q- A body is acted upon by two forces 30N due east and 40N due North. Calculate
Dmitry_Shevchenko [17]

Answer:

the following image will make you understand

Explanation:

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4 years ago
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