Recent content by NoPhysicsGenius

I am confused. To finish my proof, I must show that ##- \vec {b} \wedge ( \vec {a} \cdot \vec{C_r} ) = - \vec {b} \vec {a} \cdot \vec {C_r} - \vec {a} \cdot ( \vec {b} \cdot \vec {C_r} ) ## ##\Rightarrow \vec {b} \wedge ( \vec {a} \cdot \vec{C_r} ) = \vec {b} \vec {a} \cdot \vec {C_r} + \vec...

Also, you will need to multiply the right-hand side of the original equation by the complex conjugate in order to get rid of the imaginary part in the denominator. As a simple example, note the following: $$\frac {1}{a + ib} \cdot \frac {a - ib}{a - ib} = \frac {a-ib}{a^2 + iab - iab - i^2...

Homework Statement Prove that ##\vec {a} \cdot (\vec {b} \wedge \vec {C_r}) = \vec {a} \cdot \vec {b} \vec {C_r} - \vec {b} \wedge (\vec {a} \cdot \vec {C_r})##. Note that ##\vec {a}## is a vector, ##\vec {b}## is a vector, and ##\vec {C_r}## is an r-blade with ##r > 0##. Also, the dot...

Surface element da Thanks! I get it now ... The surface element (da) is da = dl_{r}dl_{\varphi} = (dr)(r sinθ d\varphi) = r sin \frac{\pi}{4} dr d\varphi = \frac{1}{\sqrt{2}} r dr d\varphi.

Additional Problem Info Note that in the relevant equation for V(P), the square root term represents the separation vector from the source point (the conical surface of uniform charge σ) and the point where the potential is to be measured. The letter z is to be taken as a constant; V(Q) = V(z...

Homework Statement A conical surface (an empty ice-cream cone) carries a uniform surface charge σ. The height of the cone is a, as is the radius of the top. Find the potential difference between the points P (the vertex) and Q (the center of the top). Homework Equations V(P) =...

Um ... I haven't the slightest clue how to set up this problem. Any hints?

Hi! Note that the circuit can be drawn as a resistance R in series with the parallel combination of: (a) a resistance of R and (b) a series combination of the resistances R and R(L). Then, the circuit can be drawn as a resistance of R in series with the parallel combination of R and (R +...

No, they did not. I double-checked to see whether I left anything out in my statement of the problem; but what I have is all that the book gave me. Do you think that the problem doesn't give complete information in order to solve it? And, thank you for responding.

Homework Statement The following is Problem 1-13 on page 23 from Electrical Engineering Fundamentals, 2nd ed., by Vincent del Toro: "In the configuration shown in Fig. P1-13 the coil has 100 turns and is attached to the rotating member which revolves at 25 \frac{rev}{s}. The magnetic...

Wow ... That was really foolish of me! Thank you!

[SOLVED] Average force/impulse/collision problem Homework Statement A 75-kg ice skater moving at 10 m/s crashes into a stationary skater of equal mass. After the collision, the two skaters move as a unit at 5 m/s. The average force that a skater can experience without breaking a bone is...

Thank you for your help ... I am able to get the book's answer now!

O.K. Applying conservation of linear momentum gives: m_1v_{1i}+m_2v_{2i}=m_1v_{1f}+m_2v_{2f} Noting that: v_{2i} = 0 and m_2=12m_1 we get: m_1v_{1i}=m_1v_{1f}+12m_1v_{2f} \Rightarrow v_{1i}=v_{1f}+12v_{2f} Now we can take the conservation of linear momentum equation...

[SOLVED] Elastic Collision/Kinetic Energy Problem Homework Statement A neutron in a reactor makes an elastic head-on collision with the nucleus of a carbon atom initially at rest. (a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (b) If the initial...