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- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/66%3A_Appendices/66.04%3A_Useful_Series& e^{x}=1+x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}+\dfrac{x^{4}}{24}+\dfrac{x^{5}}{120}+\dfrac{x^{6}}{720}+\dfrac{x^{7}}{5040}+\dfrac{x^{8}}{40320}+\dfrac{x^{9}}{362880}+\cdots \\[10pt] & \sin x=x-\dfrac{x...& e^{x}=1+x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}+\dfrac{x^{4}}{24}+\dfrac{x^{5}}{120}+\dfrac{x^{6}}{720}+\dfrac{x^{7}}{5040}+\dfrac{x^{8}}{40320}+\dfrac{x^{9}}{362880}+\cdots \\[10pt] & \sin x=x-\dfrac{x^{3}}{6}+\dfrac{x^{5}}{120}-\dfrac{x^{7}}{5040}+\dfrac{x^{9}}{362880}-\dfrac{x^{11}}{39916800}+\dfrac{x^{13}}{6227020800}-\cdots \\[10pt] & \cos x=1-\dfrac{x^{2}}{2}+\dfrac{x^{4}}{24}-\dfrac{x^{6}}{720}+\dfrac{x^{8}}{40320}-\dfrac{x^{10}}{3628800}+\dfrac{x^{12}}{479001600}-\cdots
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/21%3A_Circuits_Bioelectricity_and_DC_Instruments/21.01%3A_Resistors_in_Series_and_ParallelMost circuits have more than one component, called a resistor that limits the flow of charge in the circuit. A measure of this limit on charge flow is called resistance. The simplest combinations of r...Most circuits have more than one component, called a resistor that limits the flow of charge in the circuit. A measure of this limit on charge flow is called resistance. The simplest combinations of resistors are the series and parallel connections . The total resistance of a combination of resistors depends on both their individual values and how they are connected.
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/19%3A_Electric_Potential_and_Electric_Field/19.06%3A_Capacitors_in_Series_and_ParallelTotal capacitance in series 1CS=1C1+1C2+1C3+… Total capacitance in parallel Cp=C1+C2+C3+… If a circu...Total capacitance in series 1CS=1C1+1C2+1C3+… Total capacitance in parallel Cp=C1+C2+C3+… If a circuit contains a combination of capacitors in series and parallel, identify series and parallel parts, compute their capacitances, and then find the total.
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/20%3A_Circuits_and_Direct_Currents/20.2%3A_Resistors_in_Series_and_ParallelThe total resistance in the circuit with resistors connected in series is equal to the sum of the individual resistances.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/04%3A_Electric_Potential_Energy_Electrical_Potential_or_Voltage_and_Capacitance/4.08%3A_Capacitors_in_Series_and_ParallelTo find the equivalent total capacitance Cp, we first note that the voltage across each capacitor is V, the same as that of the source, since they are connected directly to it thro...To find the equivalent total capacitance Cp, we first note that the voltage across each capacitor is V, the same as that of the source, since they are connected directly to it through a conductor. (Conductors are equipotentials, and so the voltage across the capacitors is the same as that across the voltage source.) Thus the capacitors have the same charges on them as they would have if connected individually to the voltage source.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/06%3A_Resistive_Networks/6.07%3A_Circuits_Bioelectricity_and_DC_Instruments/6.7.02%3A_Resistors_in_Series_and_ParallelMost circuits have more than one component, called a resistor that limits the flow of charge in the circuit. A measure of this limit on charge flow is called resistance. The simplest combinations of r...Most circuits have more than one component, called a resistor that limits the flow of charge in the circuit. A measure of this limit on charge flow is called resistance. The simplest combinations of resistors are the series and parallel connections . The total resistance of a combination of resistors depends on both their individual values and how they are connected.