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Universitas Jenderal Soedirman Purwokerto FISIKA DASAR II Oleh : Mukhtar Effendi Universitas Jenderal Soedirman Purwokerto Mukhtar Effendi Ilmu Fisika 2 Universitas Jenderal Soedirman Purwokerto Coulomb’s Law Mukhtar Effendi Ilmu Fisika 3 Universitas Jenderal Soedirman Purwokerto The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3 x 10-11 m. Find the magnitudes of the electric force between the two particles. Elektron dan proton atom hidrogen terpisah (secara ratarata) sejauh 5,3 x 10-11 m. Hitunglah besarnya gaya listrik antara dua partikel tersebut. Mukhtar Effendi Ilmu Fisika 4 Universitas Jenderal Soedirman Purwokerto Consider three point charges located at the corners of a right triangle as shown below, where q1 = q3 = 5.0 C, q2 = -2.0 C, and a = 0.10 m. Find the resultant force exerted on q3. Terdapat tiga buah muatan titik yang terletak pada titik sudut segitiga sebagaimana terlihat pada gambar, yang q1=q3= 5 C, q2= -2 C dan a = 0,1 m. Hitunglah resultan gaya yang dialami oleh q3. Mukhtar Effendi Ilmu Fisika 5 Universitas Jenderal Soedirman Purwokerto The Electric Field the electric field vector E at a point in space is defined as the electric force Fe acting on a positive test charge q0 placed at that point divided by the test charge: Mukhtar Effendi Ilmu Fisika 6 Universitas Jenderal Soedirman Purwokerto A charge q1 = 7.0 C is located at the origin, and a second charge q2 = -5.0 C is located on the x axis, 0.30 m from the origin. Find the electric field at the point P, which has coordinates (0, 0.40) m. Mukhtar Effendi Ilmu Fisika 7 Universitas Jenderal Soedirman Purwokerto Hukum Gauss Mukhtar Effendi Ilmu Fisika 8 Universitas Jenderal Soedirman Purwokerto the electric potential created by a point charge at any distance r from the charge is the potential energy of the system Obtaining the Value of the Electric Field from the Electric Potential Mukhtar Effendi Ilmu Fisika 9 Universitas Jenderal Soedirman Purwokerto A proton is released from rest in a uniform electric field that has a magnitude of 8.0 x 104 V/m. The proton undergoes a displacement of 0.50 m in the direction of E. (A) Find the change in electric potential between points A and B. (B) Find the change in potential energy of the proton–field system for this displacement. (C) Find the speed of the proton after completing the 0.50 m displacement in the electric field. Mukhtar Effendi Ilmu Fisika 10 Universitas Jenderal Soedirman Purwokerto An electric dipole consists of two charges of equal magnitude and opposite sign separated by a distance 2a, as shown in Figure below. The dipole is along the x axis and is centered at the origin. (A) Calculate the electric potential at point P. (B) Calculate V and Ex at a point far from the dipole. Mukhtar Effendi Ilmu Fisika 11 Universitas Jenderal Soedirman Purwokerto (C) Calculate V and Ex if point P is located anywhere between the two charges. Mukhtar Effendi Ilmu Fisika 12 Universitas Jenderal Soedirman Purwokerto capacitor Mukhtar Effendi Ilmu Fisika 13 Universitas Jenderal Soedirman Purwokerto A parallel-plate capacitor with air between the plates has an area A = 2.00 x 104 m2 and a plate separation d = 1.00 mm. Find its capacitance. Mukhtar Effendi Ilmu Fisika 14 Universitas Jenderal Soedirman Purwokerto Combinations of Capacitors Mukhtar Effendi Ilmu Fisika 15 Universitas Jenderal Soedirman Purwokerto Capacitors with Dielectrics A charged capacitor (a) before and (b) after insertion of a dielectric between the plates. The charge on the plates remains unchanged, but the potential difference decreases from V0 to V= V0/. Thus, the capacitance increases from C0 to C0. Mukhtar Effendi Ilmu Fisika 16 Universitas Jenderal Soedirman Purwokerto A parallel-plate capacitor has plates of dimensions 2.0 cm by 3.0 cm separated by a 1.0-mm thickness of paper (= 3.7). Mukhtar Effendi Ilmu Fisika 17