Projects & Practices in Physics 184_notes:examples http://msuperl.org/wikis/pcubed/ 2021-08-01T22:15:22+00:00 Projects & Practices in Physics http://msuperl.org/wikis/pcubed/ http://msuperl.org/wikis/pcubed/lib/tpl/bootstrap3/images/favicon.ico text/html 2021-07-22T14:28:37+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week8_wheatstone http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week8_wheatstone&rev=1626978517&do=diff Return to Larger Combinations of Resistors and Capacitors notes The Wheatstone Bridge Suppose you have the following circuit -- it is similar to a well known circuit called a Wheatstone bridge. Resistors are labeled 1 through 4 for convenience of reference, and the fifth element is a light bulb, which also has some resistance. If any current at all flows through the light bulb, it will glow. You know $R_1 = 150 \Omega$$R_2=60 \Omega$$R_3$$R_3=250 \Omega$$R_4$$R_3=500 \Omega$$\Delta V_{\text{ba… text/html 2021-07-22T14:21:57+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week4_charge_cylinder http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week4_charge_cylinder&rev=1626978117&do=diff Example: Electric Field from a Cylindrical Shell of Charge Note: Super Challenge Problem!! -- This is a beyond the scope of this class (so you won't be expected to solve this kind of problem), but it is a cool example of how to expand from lines to areas of charge if you are interested$R$$L$$Q$$R$$P$$z$$z = 0$$z$$P$$z$$Q$$L$$R$$xy$$z$$\vec{E}=\frac{1}{4\pi\epsilon_0}\frac{Qz}{(R^2+z^2)^{3/2}}\hat{z}$$$P$$\text{d}Q$$\text{d}Q$$\text{d}Q$$\vec{r}$$\text{d}\vec{E}$$P$$\text{d}Q$$\text{d}Q$$\text… text/html 2021-07-22T09:56:13+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week14_step_down_transformer - [Solution] http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week14_step_down_transformer&rev=1626962173&do=diff Return to Changing Flux from an Alternating Current notes Designing a Step-down Transformer Recall the discussion on voltage transformers. We designed a step-up transformer in the notes, which is used to convert small voltages from a generator into high voltages, which get carried long distances to residential areas. High-voltage power lines are dangerous, though, because the potential difference between the power lines and the ground is so enormous. Before the lines enter a residential area, … text/html 2021-07-22T09:51:37+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week14_b_field_capacitor http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week14_b_field_capacitor&rev=1626961897&do=diff Return to Changing Electric Fields notes Magnetic Field from a Charging Capacitor Suppose you have a parallel plate capacitor that is charging with a current I=3 \text{ A}. The plates are circular, with radius R=10 \text{ m} and a distance d=1 \text{ cm} apart. What is the magnetic field in the plane parallel to but in between the plates?R=10 \text{ m}$$d=1 \text{ cm}$$I=3 \text{ A}$$I$$\vec{E} = \frac{Q/A}{\epsilon_0} \hat{x}$$$Q$$A$$\hat{x}\int \vec{B}\bullet \text{d}\vec{l} = \mu… text/html 2021-07-13T09:26:15+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week14_changing_current_rectangle - [Solution] http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week14_changing_current_rectangle&rev=1626182775&do=diff Return to Changing Magnetic Fields with Time notes Changing Current Induces Voltage in Rectangular Loop Suppose you have an increasing current through a long wire, I(t) = I_0 \frac{t}{t_0}. Next to this wire, there is a rectangular loop of width w and height h. The side of the rectangle is aligned parallel to the wire so that the rectangle is a distance dI(t) = I_0 \frac{t}{t_0}$$w$$h$$h$$d$$V_{ind}$$I_{ind}$$B = \frac{\mu_0 I}{2 \pi r}$$$$\Phi_B = \int \vec{B} \bullet \text{d}\vec{A… text/html 2021-07-13T08:33:45+00:00 schram45 (schram45@undisclosed.example.com) 184_notes:examples:week12_force_loop_magnetic_field - [Solution] http://msuperl.org/wikis/pcubed/doku.php?id=184_notes:examples:week12_force_loop_magnetic_field&rev=1626179625&do=diff Return to Magnetic Force on a Current Carrying Wire notes Force on a Loop of Current in a Magnetic Field Suppose you have a square loop (side length L) of current I situated in a uniform magnetic field \vec{B} so that the magnetic field is parallel to two sides of the loop. What is the magnetic force on the loop of current?L$$B$$I$$$\left| \vec{F} \right|=IBL\sin\theta$\theta\$\[ \left| \vec{F} \right| = \begin{cases} IBL\sin \pi = 0 & \text{top} \\ …