Magnetic Field#

\(B_r\)

801

b_r

\(B_\theta\)

802

b_theta

\(B_\phi\)

803

b_phi

\(B_r'\)

804

bp_r

\(B_\theta'\)

805

bp_theta

\(B_\phi'\)

806

bp_phi

\(\overline{B_r}\)

807

bm_r

\(\overline{B_\theta}\)

808

bm_theta

\(\overline{B_\phi}\)

809

bm_phi

\(\frac{\partial B_r}{\partial r}\)

810

db_r_dr

\(\frac{\partial B_\theta}{\partial r}\)

811

db_theta_dr

\(\frac{\partial B_\phi}{\partial r}\)

812

db_phi_dr

\(\frac{\partial B_r'}{\partial r}\)

813

dbp_r_dr

\(\frac{\partial B_\theta'}{\partial r}\)

814

dbp_theta_dr

\(\frac{\partial B_\phi'}{\partial r}\)

815

dbp_phi_dr

\(\frac{\partial \overline{B_r}}{\partial r}\)

816

dbm_r_dr

\(\frac{\partial \overline{B_\theta}}{\partial r}\)

817

dbm_theta_dr

\(\frac{\partial \overline{B_\phi}}{\partial r}\)

818

dbm_phi_dr

\(\frac{\partial B_r}{\partial \theta}\)

819

db_r_dt

\(\frac{\partial B_\theta}{\partial \theta}\)

820

db_theta_dt

\(\frac{\partial B_\phi}{\partial \theta}\)

821

db_phi_dt

\(\frac{\partial B_r'}{\partial \theta}\)

822

dbp_r_dt

\(\frac{\partial B_\theta'}{\partial \theta}\)

823

dbp_theta_dt

\(\frac{\partial B_\phi'}{\partial \theta}\)

824

dbp_phi_dt

\(\frac{\partial \overline{B_r}}{\partial \theta}\)

825

dbm_r_dt

\(\frac{\partial \overline{B_\theta}}{\partial \theta}\)

826

dbm_theta_dt

\(\frac{\partial \overline{B_\phi}}{\partial \theta}\)

827

dbm_phi_dt

\(\frac{\partial B_r}{\partial \phi}\)

828

db_r_dp

\(\frac{\partial B_\theta}{\partial \phi}\)

829

db_theta_dp

\(\frac{\partial B_\phi}{\partial \phi}\)

830

db_phi_dp

\(\frac{\partial B_r'}{\partial \phi}\)

831

dbp_r_dp

\(\frac{\partial B_\theta'}{\partial \phi}\)

832

dbp_theta_dp

\(\frac{\partial B_\phi'}{\partial \phi}\)

833

dbp_phi_dp

\(\frac{\partial \overline{B_r}}{\partial \phi}\)

834

dbm_r_dp

\(\frac{\partial \overline{B_\theta}}{\partial \phi}\)

835

dbm_theta_dp

\(\frac{\partial \overline{B_\phi}}{\partial \phi}\)

836

dbm_phi_dp

\(\frac{1}{r}\frac{\partial B_r}{\partial \theta}\)

837

db_r_dtr

\(\frac{1}{r}\frac{\partial B_\theta}{\partial \theta}\)

838

db_theta_dtr

\(\frac{1}{r}\frac{\partial B_\phi}{\partial \theta}\)

839

db_phi_dtr

\(\frac{1}{r}\frac{\partial B_r'}{\partial \theta}\)

840

dbp_r_dtr

\(\frac{1}{r}\frac{\partial B_r'}{\partial \theta}\)

841

dbp_theta_dtr

\(\frac{1}{r}\frac{\partial B_r'}{\partial \theta}\)

842

dbp_phi_dtr

\(\frac{1}{r}\frac{\partial \overline{B_r}}{\partial \theta}\)

843

dbm_r_dtr

\(\frac{1}{r}\frac{\partial \overline{B_\theta}}{\partial \theta}\)

844

dbm_theta_dtr

\(\frac{1}{r}\frac{\partial \overline{B_\phi}}{\partial \theta}\)

845

dbm_phi_dtr

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_r}{\partial \phi}\)

846

db_r_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_\theta}{\partial \phi}\)

847

db_theta_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_\phi}{\partial \phi}\)

848

db_phi_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_r'}{\partial \phi}\)

849

dbp_r_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_\theta'}{\partial \phi}\)

850

dbp_theta_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial B_\phi'}{\partial \phi}\)

851

dbp_phi_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial \overline{B_r}}{\partial \phi}\)

852

dbm_r_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial \overline{B_\theta}}{\partial \phi}\)

853

dbm_theta_dprs

\(\frac{1}{r\mathrm{sin}\theta}\frac{\partial \overline{B_\phi}}{\partial \phi}\)

854

dbm_phi_dprs

\(\frac{\partial^2 B_r}{\partial r^2}\)

855

db_r_d2r

\(\frac{\partial^2 B_\theta}{\partial r^2}\)

856

db_theta_d2r

\(\frac{\partial^2 B_\phi}{\partial r^2}\)

857

db_phi_d2r

\(\frac{\partial^2 B_r'}{\partial r^2}\)

858

dbp_r_d2r

\(\frac{\partial^2 B_\theta'}{\partial r^2}\)

859

dbp_theta_d2r

\(\frac{\partial^2 B_\phi'}{\partial r^2}\)

860

dbp_phi_d2r

\(\frac{\partial^2 \overline{B_r}}{\partial r^2}\)

861

dbm_r_d2r

\(\frac{\partial^2 \overline{B_\theta}}{\partial r^2}\)

862

dbm_theta_d2r

\(\frac{\partial^2 \overline{B_\phi}}{\partial r^2}\)

863

dbm_phi_d2r

\(\frac{\partial^2 B_r}{\partial \theta^2}\)

864

db_r_d2t

\(\frac{\partial^2 B_\theta}{\partial \theta^2}\)

865

db_theta_d2t

\(\frac{\partial^2 B_\phi}{\partial \theta^2}\)

866

db_phi_d2t

\(\frac{\partial^2 B_r'}{\partial \theta^2}\)

867

dbp_r_d2t

\(\frac{\partial^2 B_\theta'}{\partial \theta^2}\)

868

dbp_theta_d2t

\(\frac{\partial^2 B_\phi'}{\partial \theta^2}\)

869

dbp_phi_d2t

\(\frac{\partial^2 \overline{B_r}}{\partial \theta^2}\)

870

dbm_r_d2t

\(\frac{\partial^2 \overline{B_\theta}}{\partial \theta^2}\)

871

dbm_theta_d2t

\(\frac{\partial^2 \overline{B_\phi}}{\partial \theta^2}\)

872

dbm_phi_d2t

\(\frac{\partial^2 B_r}{\partial \phi^2}\)

873

db_r_d2p

\(\frac{\partial^2 B_\theta}{\partial \phi^2}\)

874

db_theta_d2p

\(\frac{\partial^2 B_\phi}{\partial \phi^2}\)

875

db_phi_d2p

\(\frac{\partial^2 B_r'}{\partial \phi^2}\)

876

dbp_r_d2p

\(\frac{\partial^2 B_\theta'}{\partial \phi^2}\)

877

dbp_theta_d2p

\(\frac{\partial^2 B_\phi'}{\partial \phi^2}\)

878

dbp_phi_d2p

\(\frac{\partial^2 \overline{B_r}}{\partial \phi^2}\)

879

dbm_r_d2p

\(\frac{\partial^2 \overline{B_\theta}}{\partial \phi^2}\)

880

dbm_theta_d2p

\(\frac{\partial^2 \overline{B_\phi}}{\partial \phi^2}\)

881

dbm_phi_d2p

\(\frac{\partial^2 B_r}{\partial r \partial \theta}\)

882

db_r_d2rt

\(\frac{\partial^2 B_\theta}{\partial r \partial \theta}\)

883

db_theta_d2rt

\(\frac{\partial^2 B_\phi}{\partial r \partial \theta}\)

884

db_phi_d2rt

\(\frac{\partial^2 B_r'}{\partial r \partial \theta}\)

885

dbp_r_d2rt

\(\frac{\partial^2 B_\theta'}{\partial r \partial \theta}\)

886

dbp_theta_d2rt

\(\frac{\partial^2 B_\phi'}{\partial r \partial \theta}\)

887

dbp_phi_d2rt

\(\frac{\partial^2 \overline{B_r}}{\partial r \partial \theta}\)

888

dbm_r_d2rt

\(\frac{\partial^2 \overline{B_\theta}}{\partial r \partial \theta}\)

889

dbm_theta_d2rt

\(\frac{\partial^2 \overline{B_\phi}}{\partial r \partial \theta}\)

890

dbm_phi_d2rt

\(\frac{\partial^2 B_r}{\partial r \partial \phi}\)

891

db_r_d2rp

\(\frac{\partial^2 B_\theta}{\partial r \partial \phi}\)

892

db_theta_d2rp

\(\frac{\partial^2 B_\phi}{\partial r \partial \phi}\)

893

db_phi_d2rp

\(\frac{\partial^2 B_r'}{\partial r \partial \phi}\)

894

dbp_r_d2rp

\(\frac{\partial^2 B_\theta'}{\partial r \partial \phi}\)

895

dbp_theta_d2rp

\(\frac{\partial^2 B_\phi'}{\partial r \partial \phi}\)

896

dbp_phi_d2rp

\(\frac{\partial^2 \overline{B_r}}{\partial r \partial \phi}\)

897

dbm_r_d2rp

\(\frac{\partial^2 \overline{B_\theta}}{\partial r \partial \phi}\)

898

dbm_theta_d2rp

\(\frac{\partial^2 \overline{B_\phi}}{\partial r \partial \phi}\)

899

dbm_phi_d2rp

\(\frac{\partial^2 B_r}{\partial \theta \partial \phi}\)

900

db_r_d2tp

\(\frac{\partial^2 B_\theta}{\partial \theta \partial \phi}\)

901

db_theta_d2tp

\(\frac{\partial^2 B_\phi}{\partial \theta \partial \phi}\)

902

db_phi_d2tp

\(\frac{\partial^2 B_r'}{\partial \theta \partial \phi}\)

903

dbp_r_d2tp

\(\frac{\partial^2 B_\theta'}{\partial \theta \partial \phi}\)

904

dbp_theta_d2tp

\(\frac{\partial^2 B_\phi'}{\partial \theta \partial \phi}\)

905

dbp_phi_d2tp

\(\frac{\partial^2 \overline{B_r}}{\partial \theta \partial \phi}\)

906

dbm_r_d2tp

\(\frac{\partial^2 \overline{B_\theta}}{\partial \theta \partial \phi}\)

907

dbm_theta_d2tp

\(\frac{\partial^2 \overline{B_\phi}}{\partial \theta \partial \phi}\)

908

dbm_phi_d2tp