How Does a Magnetic Field Affect a Suspended Rod in a Circuit?

In summary, both springs and electric fields can store and release potential energy. Hooke's Law applies to both, stating that the force exerted is directly proportional to displacement. The main difference between conservative and non-conservative forces in relation to springs and electric fields is that the work done by conservative forces is independent of the path taken, while non-conservative forces depend on the path. Both springs and electric fields can affect the motion of objects, causing acceleration. Real-world applications of springs include everyday objects and complex systems, while electric fields have a wide range of applications in electronic devices, medical equipment, and advanced technologies.
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Mthees08
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Homework Statement


A rigid rod of mass m and length l is suspended from two identical springs of negligible mass such that one spring is attached at either end of the rod. The upper ends of the springs are fixed in place and the springs stretch a distance d under the weight of the suspended rod. I did manage to solve this and find the k=(ma)/(2d) however the question will continue to say If the springs are a part of a circuit connected to a battery with negligible internal resistance and E with a Resister with resistance R and a switch(there is a picture however it is not of much use) Then the rod will move by delta d down from the springs. The total resistance of the circuit is R (the same as the one resister, assuming the wires have negligible resistance.) The rod is in uniform magnetic field directed perpendicular to the field the upper ends of the springs remain fixed in place and the switch is closed. When the system comes to equilibrium the rod is lowered by the prior mentioned delta d.
a)What is the direction of the magnetic field according to the coordinate axis with x to the right y up and z out of the page
b)Determine the magnitude of the magnetic field in terms of: m, d,delta d, E (epsilon) R and fundimental constants.
c) when the switch is suddenly opened the rod oscillates. For these oscillations determine the following in terms of d delta d and fundamental constants, the period (T) and the max speed of the rod.

Relevant equations
F=qvb
F=IBl

The Attempt at a Solution


I got a using the right hand rule however beyond there I am clueless please help. This is a high school AP physics class with no calculus please, thank you much.
 
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Please don't double-post among the forums: you have received a reply in the Introductory Physics forum.
 

FAQ: How Does a Magnetic Field Affect a Suspended Rod in a Circuit?

What is the relationship between springs and electric fields?

The relationship between springs and electric fields is that both can store and release potential energy. In a spring, potential energy is stored when the spring is stretched or compressed. In an electric field, potential energy is stored when charges are separated. Additionally, electric fields can cause forces on charged particles similar to how springs can cause forces on objects when stretched or compressed.

How does Hooke's Law apply to springs and electric fields?

Hooke's Law states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. This law also applies to electric fields, where the force exerted on a charged particle is directly proportional to the electric field strength at that point.

What is the difference between a conservative and non-conservative force in relation to springs and electric fields?

A conservative force, such as the force exerted by a spring, is one that does not depend on the path taken by the object. This means that the work done by the force is independent of the path and only depends on the initial and final positions. On the other hand, a non-conservative force, such as the force exerted by an electric field, depends on the path taken by the charged particle. The work done by a non-conservative force is not only dependent on the initial and final positions, but also on the path taken.

How do springs and electric fields affect the motion of objects?

Springs and electric fields can both cause forces on objects, which can affect the motion of the objects. In the case of a spring, when a force is applied to it, it will either stretch or compress and exert a force in the opposite direction. This force can cause an object attached to the spring to accelerate. Similarly, in an electric field, charged particles will experience a force that can cause them to accelerate. This acceleration can affect the motion of the charged particles and any objects they may be attached to.

What are some real-world applications of springs and electric fields?

Springs and electric fields have many practical applications. Springs are commonly used in everyday objects such as mattresses, car suspensions, and door hinges. They are also used in more complex systems such as shock absorbers and mechanical watches. Electric fields have a wide range of applications, including in electronic devices such as computers and smartphones, as well as in medical equipment such as MRI machines. They are also used in power generation and transmission systems, as well as in particle accelerators and other advanced technologies.

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