Physics, 05.07.2019 00:10 kayleegeise
You are given that a 4-dimensional pseudo-riemannian space-time has the interval ds2dudvf (u) dx2 g? (u) dy*, (u, v, x, y) in terms of the coordinates x^ = (i) use the standard variational principle 2 ds dt = 0 dt ti to find the r-equation governing the geodesic, with parameter t, between given points t and t2 (ii) deduce from the x-geodesic equation obtained in (i) that f' t.. t. =. ur f where a prime denotes differentiation with respect to u (iii) show that other non-zero christoffel symbols are i yy = g (iv) show that rd rt ry uyu = 0, r°aßy= 0.
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Two resistors r1 and r2 may be connected either in series or parallel across an ideal battery with emf ε. we desire the rate of energy dissipation of the parallel combination to be 8.75 times that of the series combination. if r1 = 105 ω, what are the (a) smaller and (b) larger of the two values of r2 that result in that dissipation rate?
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You are given that a 4-dimensional pseudo-riemannian space-time has the interval ds2dudvf (u) dx2 g?...
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