### Problem StatementA horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length of 0.20 m and a mass of 0.080 kg. A uniform magnetic field of magnitude 0.070 T is directed from the ceiling to the floor. When a current \( I = 42 \) A exists in the wire, the wire swings upward and, at equilibrium, makes an angle \(\phi\) with respect to the vertical, as shown in the figure. Find:(a) the angle \(\phi\), and (b) the tension in each of the two strings.### Diagram ExplanationThe diagram illustrates the setup of the problem with the following components:1. **Ceiling and Floor with Magnetic Field**: The diagram shows a room with a ceiling and a floor. The magnetic field (\(\mathbf{B}\)) is uniform and directed from the ceiling (N) to the floor (S). The field lines are shown as red arrows indicating the direction from the ceiling to the floor.2. **Wire**: A horizontal wire of length \( l \) is suspended in equilibrium by two massless strings. The wire is subjected to a magnetic field and carries a current \( I \).3. **Angle \(\phi\)**: The wire makes an angle \(\phi\) with the vertical due to the magnetic force acting on it. The angle is depicted in the diagram.4. **Current Direction**: The current \( I \) in the wire is shown to be horizontally directed.### Calculation ComponentsTo solve the problem, the following concepts and equations would be utilized:1. **Magnetic Force on the Wire**: \[ F = I l B \sin(\theta) \] In this case, the angle between the current direction and magnetic field is 90 degrees (\(\theta = 90^\circ\)), simplifying the expression to: \[ F = I l B \]2. **Forces in Equilibrium**: - Vertical equilibrium condition: The sum of the forces in the vertical direction must be zero. - Horizontal equilibrium condition: The sum of the forces in the horizontal direction must be zero.3. **Tension in Strings**: Each string will have a vertical and horizontal component of tension balancing the weight of the wire and the magnetic force respectively.By analyzing these conditions, both the

Answered: Image /qna-images/answer/e0299e65-545d-4c2c-9c5f-a60ed3d1f2e8.jpg

Answered: *40. GO A horizontal wire is hung from…

Similar questions

A straight, stiff, horizontal wire of length 20cm and mass 30g is connected to a source of emf by light, flexible leads. A magnetic field of 1.33 T is horizontal and perpendicular to the wire. Find the current necessary to float the wire, that is, find the current for which the magnetic force balances the weight of the wire.
A radioactive source emits beta particles (electrons– mass 9.11 × 10−31 kg) with energy 1 × 106 eV (1.6 × 10−13 J). The electrons enter a uniform magnetic field as shown. If the electrons emerge from the left side of the field at a right angle to their initial direction, what are the minimum strength and direction of the field?
The above picture depicts a moveable vertical conducting bar sliding on fixed conducting rails. At time t, what is the formula for the power delivered by the magnetic field of magnitude B onto the bar of length L that is moving to the right at speed v with current I flowing through it? Group of answer choices + I L B v t 0 + I L B v − I L B v − I L B v t
A 12.6 g wire of length 62.8 cm is suspended by a pair of flexible leads in a uniform magnetic field of magnitude 0.342 T (see the figure). What is the (a) magnitude and (b) direction (left or right) of the current required to remove the tension in the supporting leads? (a) Number (b) Units X L
A proton has a velocity of 1.1X10^2 m/s î +1.8X10^2 m/s ĵ and is located in the z=0 plane at x=3.4m, y=3.6m at some time t=T. Find the magnetic field in the z=0 plane at the following at x=1.9m, y=1.9m.
A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components: 1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction. The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) - What is the magnitude of the magnetic force?
A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude B = 1.70 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle 8 = 41.0° to the linear boundary of the field as shown in Figure P29.69. www XXX xxx xx xxxx xxx Submit Answer Save Progress XXX XXX Figure P29.69. (a) Find x, the distance from the point of entry to where the proton will leave the field. 0.1365786648 x Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) Determine 8', the angle between the boundary and the proton's velocity vector as it leaves the field. 0 Practice Another Version